Firefighters put off fire after the strike.
Russian strikes on Sumy have killed more than 30 people including two children, Ukraine's state emergency service says.
Ukraine's president, Volodymyr Zelensky, condemns the attack as "horrific" and accuses Putin of ignoring the US ceasefire proposal.
In Sumy, a resident tells the BBC that during the strikes "everything in my house jumped".
On Friday, US envoy Steve Witkoff met Russian President Vladimir Putin to discuss a Ukrainian peace settlement - here's what happened.
Fighting has raged in Ukraine since Russia launched its full-scale invasion three years ago.
Fighting has raged in Ukraine since Russia launched its full-scale invasion three years ago
We've seen a statement from Ukraine's Interior Minister Ihor Klymenko, who has confirmed at least two Russian ballistic missiles hit Sumy earlier.
Speaking to Ukrainian news agency RBC-Ukraine, Klymenko also warns "the number of victims may increase".
In a scathing attack on the Russian military, Klymenko says the attacks hit the city centre, noting that on Palm Sunday many people were on the street celebrating and there is a church near to the strike location.
"It was at this time that the Russians struck, clearly realising that they were hitting civilians," he adds.
Russian strikes a reminder of ongoing bloodshed, UK prime minister says
A little earlier we heard from French President Emmanuel Macron who says Russia's attack on Sumy shows a "blatant disregard for human lives".
Now, UK Prime Minister Keir Starmer, condemning the attack as "horrific".
He says the strikes are a "stark reminder of the continued bloodshed" carried out by by Russia.
"President Zelensky has shown his commitment to peace, President Putin must now agree to a full and immediate ceasefire without conditions - as Ukraine has done," Starmer adds.