"The United States condemns in the strongest terms these horrific attacks against medical infrastructure and humanitarian aid workers. There is no excuse for these heinous actions," Rice said in a statement.
"The Syrian regime and its allies, Russia in particular, bears responsibility for the immediate and long-term consequences these actions have caused in Syria and beyond."
Her comments come as intense government air strikes and artillery fire killed at least 27 people in Aleppo, where hospitals have been destroyed and schools have been forced to close.
Rice indicated that the US government would use a summit of Asia-Pacific leaders in Peru to put pressure on Russia. President Vladimir Putin is attending the event.
"The United States again joins our partners, many of them gathering in Peru this weekend, in demanding the immediate cessation of these bombardments and calling on Russia to immediately deescalate violence and facilitate humanitarian aid and access for the Syrian people," said Rice.
Disclaimer: No Business Standard Journalist was involved in creation of this content