The England U21 international has signed a four-year deal at the Vitality Stadium and arrives at Bournemouth after he made 41 appearances for the Reds in all competitions last season.
AFC Bournemouth chief executive Neill Blake said: “We’re delighted to bring Jordon to the football club.
“He played plenty of football with Liverpool last season and we’re looking forward to seeing him to continue to grow now with us, he’s a huge prospect.
“We’ve now signed five players this summer, all of whom have an abundance of potential.
“It shows that we’re serious about nurturing talent at this football club and we have the long term in mind when we say we want to stay in the Premier League.”
Ibe has flown straight to Chicago to meet up with the rest of the squad currently on pre-season camp.