Air strikes have rocked residential suburbs of the capital Kyiv overnight as a 40-mile long convoy of Russian military vehicles inched closer.
Meanwhile, the Ukraine military says Russian paratroopers have landed in its besieged second-largest city Kharkiv
Fighting has broken out after Russian airborne troops parachuted in to attack military targets.
The city's mayor has said that at least 21 people were killed and 112 wounded in the shelling..
However, the governor of Kharkiv Regional State Administration said all Russian attacks "were repulsed" and positions held, despite heavy bombardment of Kharkiv on Tuesday and overnight.
Governor Oleh Synegubov said "the Russian enemy suffered significant losses".
It is understood Russian troops entered the northeastern and northern sectors of the city as Kharkiv was pummelled overhead by jet artilllery.
The development comes after days of shelling, including a cluster bomb attack on the city on Monday which killed at least 11 people and wounded scores more. You can follow developments throughout the day here.
Read more: Russian oil tanker diverted from Wales while another remains docked here
Here is the morning update:
Fears bombing will intensify
Western fears are growing that Russia could intensify bombing on the Ukrainian capital, Kyiv, with a 40-mile convoy of tanks and other military vehicles amassed on the outskirts of the city.
It comes after Ukrainian officials said Russian forces fired at the Kyiv TV tower and Ukraine's main Holocaust memorial in an attack that killed five people and left five more wounded.
The memorial at Babi Yar, a ravine in Kyiv, is where nearly 34,000 Jews were killed within 48 hours in 1941 when the city was under Nazi occupation.
Kyiv is braced for even more shelling as the Prime Minister said he feared the Kremlin could look to "Grozny-fy" the capital - a reference to the way Russian forces flattened the city during the Second Chechen War in 1999-2000.
Footage has also emerged showing people's desperate bid to flee Kyiv overnight on Tuesday as explosions struck residential areas and as many as 15,000 troops - an entire Russian army division - bore down on Ukraine's capital.
Footage from Kyiv station showed hundreds of civilians, some with young children, trying to cram onto an already packed train amid fears that the city could soon be turned into a war zone.
Mr Johnson, speaking to ITV, said Mr Putin, after finding his invasion hampered by strong Ukrainian resistance and logistical issues, could "double down and to try and 'Grozny-fy' Kyiv".
"I think that that would be an unalterable moral humanitarian catastrophe and I hope he doesn't do that," he added.
But despite anxieties over further killings and possible atrocities, the Prime Minister consistently ruled out Nato policing a no-fly zone over Ukraine during his trip to visit allies, saying shooting Russian planes out of the sky was not under consideration.
The UK Government also announced a further £80 million in aid for Ukraine on Tuesday, with the money due to be used to "tackle the growing humanitarian crisis" in the country, the Foreign Office said.
TV tower hit by missile
An airstrike hit Kyiv's main television tower was published on the Telegram channel of Kyiv's Mayor Vitaly Klitschko on Tuesday evening..
Emergency services say five people were killed in the Russian attack.
It's unclear whether the tower itself was directly hit - it remains standing - but the blasts took some broadcasts off air.
Boris Johnson to address UK MPs
Boris Johnson will update MPs on his talks with allies in eastern Europe as the UK piled more pressure on Russia over its Ukraine invasion.
Following his trip to Poland and Estonia yesterday, Mr Johnson will address the House of Commons during Prime Minister's Questions on Wednesday, during which he is likely be pressed on further action the Government could take on sanctioning Russian oligarchs and supporting Ukrainian refugees.
As the Prime Minister returns from meeting British troops on Nato's border with Russia, the Foreign Office is expected to follow suit by announcing further financial sanctions on Moscow banks and also ban all Russia-linked ships from docking at UK ports.
Liz Truss said the measures, which include prohibiting UK individuals and entities from providing financial services to Russia's central bank, were designed to "degrade" Russia's economy.
Belarusian military individuals and organisations were also sanctioned as the UK looks to punish Belarus president Alexander Lukashenko for supporting his close ally, Russian president Vladimir Putin, to launch his attack on Ukraine.
The UK's earlier sanctions announcement came after there were cross-party calls from MPs to "go even faster and further" in targeting Russian money and power.
Former Labour minister Dame Margaret Hodge used parliamentary privilege to read out the names of 10 Russian oligarchs with "links to the UK", from a list of 105, who she said should be sanctioned.
Also speaking in Tuesday's Commons debate, Conservative MP Bob Seely questioned the morality of UK-based lawyers working for Russian oligarchs in what he called a "rotten" system.
He said "Putin's henchmen" were "teaming up with amoral lawyers" and called for ministers to order a public inquiry into dirty money in UK public life.
In a possible hint that the UK Government could still go further in terms of individual sanctions, the Prime Minister said the silence of Russian oligarchs who had investments in the UK over the Ukraine invasion was "inexplicable" and pressed them to "denounce this act of aggression."
Mr Johnson told ITV News during his trip to Poland: "And those oligarchs who have connections with the Putin regime and who are benefiting from their association with the Russian state, we are going to expose and distrain their assets."
Biden closes airspace to Russian flights
US President Joe Biden used his first State of the Union address to announce US airspace was closed to Russian flights, adding his administration would be joining the UK and other allies in pursuing the Russian oligarchs and "corrupt leaders who built billions of dollars off (Vladimir Putin's) violent regime".
He also said the US was assembling a task force to "find and seize their yachts and luxury apartments (and) their private jets".
Mr Biden went on: "The free world is holding (Mr Putin) accountable along with 27 members of the European Union... as well as countries like the United Kingdom, Canada, Japan, Korea, Australia, New Zealand and many others. Even Switzerland are inflicting pain on Russia (and) supporting the people of Ukraine.
"Putin is now isolated from the world more than he has ever been. Together with our allies, we are right now enforcing powerful economic sanctions: We're cutting off Russia's largest bank to the international financial system... (and) choking Russia's access to technology that will sap its economic threat and weaken its military for years to come.
"Tonight, I say to the Russian oligarchs and the corrupt leaders who built billions of dollars off this violent regime... We're coming for your ill-begotten gains."
Apple halts the sale of its products in Russia
Apple has stopped selling iPhones and other popular products in Russia in response to the ongoing conflict in Ukraine.
The company is one of the latest major corporations to boycott the country following the invasion ordered by Russian president Vladimir Putin last week.
Fellow tech giants Google and Twitter have also cut down their business in Russia.
As well as halting product sales, Apple says its mobile app store is blocking downloads of RT News and Sputnik News from outside Russia.
It also has stopped live traffic updates on Apple Maps in Ukraine as a safety measure, similar to action Google has already taken.
"We will continue to evaluate the situation and are in communication with relevant governments on the actions we are taking," the company said in its statement.
"We join all those around the world who are calling for peace."
It is not known how much of Apple's roughly 365 billion dollar (£274 billion) annual revenue comes from Russia.
Senior Russia Today news anchor quits
The senior news anchor of Russia’s state-owned television network RT has resigned “on principle” just days after the country’s invasion of Ukraine.
Kevin Owen worked for RT - formerly known as Russia Today - for more than 15 years, having joined the channel in 2006.
He had previously worked in the UK in national and regional media, fronting nightly news broadcasts for both BBC Wales and HTV Wales.
He rose to become the main news anchor on the state-owned Russian news network, and was awarded the prize ‘News Anchor of the Year’ in 2008.
However, he resigned from his post on Monday in light of the current situation in Russia. Speaking exclusively to WalesOnline from Moscow on Tuesday, he confirmed the news and paid tribute to his colleagues.
“I resigned on principle,” said Mr Owen. “I will very much miss the vast amount of very talented and kind colleagues and management who I had the pleasure of working with over many years.”
Get stories like this straight to your inbox with our newsletters.