"Our main concern is to prevent the spillover of terrorist threats that flourish in Turkey into the Russian territory," Lavrov said at a press conference after talks with Cypriot Foreign Minister Ioannis Kasoulides.
Lavrov defended the measures Moscow imposed on Ankara this week after a Turkish fighter shot down the Russian jet over Syria on November 24 as adequate.
"They are recognized as such by most impartial observers in the international arena," the minister stressed.
Russian President Vladimir Putin described the attack as a "stab in the back" carried out by "accomplices of terrorists."
The measures ban or restrict the activities of Turkish organizations in Russia, as well as banning Russian employers from hiring Turkish citizens, effective January 1, 2016.
The measures also prohibit charter air travel between the two countries, and ban or restrict the import of certain goods from Turkey.