"Having partly burned up in the Earth's dense atmosphere, Progress ended its existence in the designated area in the southern Pacific," the spokesman said.
In February, Progress M-63 delivered 2.5 metric tons of cargo, including food, equipment and other supplies, to the International Space Station (ISS).
Meanwhile, Mission Control is preparing for the launch of the Soyuz TMA-12 delivery vehicle on April 8 from the Baikonur space center in Kazakhstan.
The spacecraft is to deliver the members of the 17th ISS expedition - the Russian astronauts Commander Sergei Volkov and Flight Engineer Oleg Kononenko, as well as the first South Korean female astronaut, Yi So-yeon - to the orbiting station.
The docking of the Soyuz TMA-12 spacecraft with the ISS is estimated to take place at 5:00 p.m. Moscow time [13:00 GMT] on April 10.