Frenchman Konate, 22, will join the Anfield club on 1 July once his work permit application is approved and medicals are completed.
Financial details of the transfer were not revealed but British media reported Liverpool triggered a 41 million euros release clause in his contract. Konate had a contract until June 2023 with Leipzig.
“I’m really happy to be joining such a massive club like Liverpool,” Konate, who has played 95 times for Leipzig, said in a statement.
“I have worked very hard for many years to get to this point, but I would like to say a big thank you to everyone at RB Leipzig and all the people I worked with there – the coaches, my teammates, the staff and especially the fans.”
Liverpool struggled to defend their Premier League title last season after an injury crisis in defence when they lost Virgil van Dijk and Joe Gomez to season-ending injuries early in the campaign. Joel Matip was also injured for long periods.
Liverpool manager Jurgen Klopp was forced to play midfielders such as Fabinho in defence and inexperienced defenders Ben Davies and Ozan Kabak were signed in the winter transfer window to try to plug the gaps.
“I’m really pleased we’ve been able to add a player of Ibrahima’s quality to our squad and he is someone I’ve admired for a long time, ever since I first became aware of his potential when he was at Sochaux,” Klopp said.
“After the problems we had with injuries in the centre-half position last season, there’s no doubt it was clear it was an area of the team we needed to strengthen.”