The mission launched on Friday and is scheduled to land on the Moon on August 21.
"Luna-25 ... carried out the first trajectory correction on the flight to Earth's natural satellite," Roscosmos said.
The adjustment required 46 seconds of engine work starting 4 pm Moscow time (13:00 GMT), the statement read.
Luna-25 is part of the Russian lunar program for the exploration and practical use of the Moon and its orbit to establish a fully automated lunar base. It is also the first lunar mission to attempt landing at the Moon's South Pole rather than its equator. After the landing, Luna-25 will collect lunar soil samples and examine them for the presence of ice.