Four members of the Pussy Riot protest group who invaded the World Cup 2018 final pitch have been handed 15-day jail sentences.

A Moscow court on Monday also banned the four, who were dressed in mock police-style outfits when entering the pitch, from attending all sporting events for three years.

The four were identified as Veronika Nikulshina, Olga Pakhtusova, Olga Kurachyova and Pyotr Verzilov.

The pitch invaders interrupted the showpiece event at the Luzhniki Stadium in front of Russia president Vladimir Putin and other world leaders and Fifa officials.

Croatia defender Dejan Lovren pushed Verzilov, the only male protestor, before security escorted all four all the pitch.

Kurachyova said the stunt was to condemn Fifa and promote freedom of speech.

"It is a pity that we disrupted the sportsmen," she told reporters on Monday. "Fifa is involved in unfair games unfortunately. Fifa is a friend of heads of states who carry out repression, who violate human rights."