An estimated 550 passengers were evacuated from the trains, and a recovery operation is now taking place, officials told Interfax.
The Moscow Department of Transport has announced that free replacement buses will be available for those affected, with routes running between the Kursky and Tovarnaya-Kurskaya rail stations, the Kalitniki rail station and the Ryazansky Prospect metro station.
A further route will run between the Moskvorechye rail station and the Tsaritsyno metro station.