Defence Services Commander-in-Chief Senior General Min Aung Hlaing has left for Russia to discuss strengthening cooperation between the two militaries and to visit training schools, headquarters and industries.
Army chief Lieutenant General Soe Htut was also in the delegation.
A bilateral military cooperation agreement was signed in June 2016 by Deputy Russian Defence Minister Anatoly Antonov and military-appointed Deputy Defence Minister Major General Myint Nwe.
The air force uses Russian MIG-29 jet fighters and Mi35 and Mi17 helicopters.
Yak 130 light jet fighters were bought in a first batch in 2016, Russia's state-run Sputnik news agency quoted an officer saying.
The state-run newspaper Myanmar Alin reported on June 5 that the Russian ambassador said there were about 6,000 of Myanmar's officers at Russia's academies.
He reportedly told the Myanmar Alin that Russia was ready to deepen military cooperation.
Diplomatic ties were established in February 1948.