World Cup 2018: Pussy Riot protesters who stopped final jailed for 15 days by Russian court
Three females and one male protester donned police uniforms as they sprinted on to the pitch in the second half, to the anger of Croatia defender Dejan Lovren
Pussy Riot release video explaining why the invaded the pitch at the World Cup final
With Russian president Vladimir Putin and other dignitaries from around the world watching on, the act was seen as bold and brazen, as it disrupted a potential Croatian attack.
The judge also banned the four from attending sports events for three years.
The four were Veronika Nikulshina, Olga Pakhtusova, Olga Kurachyova and Pyotr Verzilov, the only male.
Kurachyova said their stunt, which held up the game only briefly, was meant to promote freedom of speech and condemn policies of Fifa, soccer's global governing body.
Kurachyova said: "It is a pity that we disrupted the sportsmen.
"Fifa is involved in unfair games unfortunately. Fifa is a friend of heads of states who carry out repression, who violate human rights."
Verzilov said the performance was also meant to show how "the state, in the form of the police, intrudes into people's lives".
Three of Pussy Riot's original members were jailed in 2012 for staging a protest against Putin in a church and the group has since become a symbol of anti-Kremlin direct action.
Detained Pussy Riot protesters who invaded the pitch at the World Cup final are interrogated by furious police officers
Croatian defender Dejan Lovren, who pushed the male intruder aside on the pitch, told reporters the incident had interrupted the game at an important moment for his team.
The match, which France won 4-2, was watched from the stands by Putin and the French and Croatian presidents.