The entrance of the International Criminal Court (ICC) is seen in The Hague March 3, 2011.
A spokeswoman for the Yerevan parliament said 60 deputies had voted to ratify the Rome Statute of the ICC and 22 had voted against.
"We would not want the president to have to refuse visits to Armenia for some reason," Kremlin spokesman Dmitry Peskov told reporters on Tuesday.
Armenia says it had discussed its ICC plans with Russia, after Moscow warned in March of "serious consequences".
Yerevan has said its move addresses what it says are war crimes committed by Azerbaijan in a long-running conflict with Armenia, although ICC jurisdiction will not be retroactive.
Persons:
Jerry Lampen, Putin, Vladimir Putin, Dmitry Peskov, Nikol Pashinyan, Peskov, Pashinyan, Aysor.am, Vahan Kerobyan, Kevin Liffey, Guy Faulconbridge, Gareth Jones
Organizations:
Criminal Court, REUTERS, Armenia, Armenia Bilateral, ICC, Kremlin, Collective Security, Organisation, Reuters, Thomson
Locations:
Hague, Armenia, Azerbaijan, Ukraine Russia, The Hague, vexing Russia, Moscow, Yerevan, Rome, Ukraine, Nagorno, Karabakh, Russia, Russian