MOSCOW, Nov 20 (Reuters) - The Kremlin said on Monday it regretted Finland's decision to shut crossings on its border with Russia, saying it reflected Helsinki's adoption of an anti-Russian stance.

Kremlin spokesman Dmitry Peskov, speaking at a regular news briefing, also rejected Finland's accusation that Russia is deliberately pushing illegal migrants towards the border and said that Russian border guards were following all instructions.

Finland, a member of the European Union and - from this year - also of the NATO military alliance, closed four crossings on its border with Russia on Saturday as Helsinki seeks to halt a flow of asylum seekers it says was instigated by Moscow. (Reporting by Reuters Writing by Gareth Jones; Editing by Mark Trevelyan)