The Scotland international hooker will leave at the end of the season after seven years at Scotstoun.
Turner will link up with his former Warriors coach Dave Rennie who has been in charge at Kobe since leaving the Australia national team post in 2023. Rennie is assisted by Mike Blair, the former Edinburgh coach.
Turner still has work to do with Glasgow in Saturday's URC semi-final against Munster in Limerick. He came off the bench to help the Warriors beat the Stormers in the quarter-finals last weekend in his first match since fracturing his foot during the Six Nations.