The rockets slammed into apartment blocks in the city centre, sparking fires and leaving several dead and injured, journalists in Kharkiv report.
Russian forces are expected to begin a new big offensive in the east of the country after their retreat from the Kyiv region and other parts of the country.
Despite Moscow's blanket denials, horrific discoveries of civilian murders, torture and other barbaric acts by Russian troops continue coming to light.
Ukraine has continued to call for tighter Western nations against Moscow and for more weapons to repel Putin's forces.
See a summary of Sunday's events in our blog below, and watch our TV coverage in the video player above.
For a summary of Saturday's developments as they unfolded, click here.