There have been a spate of major demonstrations on college campuses from California to Massachusetts over the past week
The incident came nearly two weeks after Russia, a major ally of Syria's President Bashar al-Assad, launched air strikes against Syrian rebels and Islamic State fighters.
One witness said both shells appeared to land in a park close to the embassy compound. A second witness said one of them landed inside the compound but did not hit the building itself.
Russia's Interfax news agency said two rockets landed in the embassy grounds. It quoted a diplomat at the embassy as saying none of the embassy employees was wounded.