Critical infrastructure objects were also hit in the Cherkasy region southeast of Kyiv, and explosions were reported in other regions of Ukraine.
Experts say the salvage operation will consist of removing the explosive materials from the sunken vessels and then destroying the wrecks, rather than dragging the ships out of the river.
Satellite photos taken before and after the attack show that a small, squarish building in the middle of the Olenivka prison complex was demolished, its roof in splinters.
The Biden administration has ramped up intelligence sharing with Ukraine alongside the shipment of arms and missiles to help it repel Russia's invasion.
Ukraine war: Russia's damaged Black Sea flagship guided-missile cruiser 'Moskva' sinks in latest setback
The loss of the warship named for the Russian capital is a devastating symbolic defeat for Moscow as its troops regroup for a renewed offensive in eastern Ukraine after retreating.
The loss of the ship would be a major military and symbolic defeat for Russia as its troops regroup for a renewed offensive in eastern Ukraine after retreating from much of the north.