Kremlin spokesman Dmitry Peskov said on Wednesday that Kazakhstan could solve its own problems and it was important that no one interfered from the outside, RIA news agency reported.
It quoted Peskov as saying Kazakhstan had not requested Russian help to deal with protests that prompted the resignation of its government on Wednesday.
Russia is acutely sensitive to unrest in former Soviet republics it regards as part of its sphere of influence, and in the past has accused the West of stoking revolutions in countries such as Georgia and Ukraine.
RIA quoted the Russian foreign ministry as saying it was following the Kazakh situation closely and counting on the "soonest possible normalization."