The victor of this game will play the victor of the Sweden-England game in the semi-finals.
Russian Federation defender Mario Fernandes scored the equalizing goal in extra time, but then sent his penalty wide of the net in the shootout.
Croatia goalkeeper Danijel Subasic was issued a warning by Federation Internationale de Football Association after his team's World Cup victory over Denmark for revealing a T-shirt with a message honouring a former teammate who died a decade ago from injuries suffered during a match.
Players of Croatia pose for a photo ahead of the 2018 FIFA World Cup Russia Round of 16 match between Croatia and Denmark at the Nizhny Novgorod Stadium in Nizhny Novgorod, Russia on July 01, 2018.
The 90 minutes ended 1-1 before the referee signaled for the start of the extra time.
And it was Lovren's team that prevailed 4-3 in the shootout when Barcelona star Ivan Rakitic netted the decisive kick. The English team defeated Sweden 2-0.
Andrej Kramarić's goal against World Cup hosts, Russia.
Croatia defender Domagoj Vida also scored in extra time with a header in the 101st minute.
Croatia is the first team to win consecutive penalty shootouts since Argentina in 1990 and it's the first time the host country has lost in a shootout since Italy in the same year.
Croatia goalkeeper Danijel Subasic saves Russia's first penalty in the shootout to decide their Fifa World Cup quarterfinal in Sochi.