Currently with the Chiefs in Super Rugby, Dave has signed a two-year deal at Scotstoun.
The former Wellington centre held a position at the International Rugby Academy of New Zealand (IRANZ) as a resource coach between 2003-2007.
He also coached Manawatu in the ITM Cup between 2006-2011, and alongside that role he coached the New Zealand U20 side which won three consecutive Junior World Championships between 2008-2010.
He started his coaching career in 1999 at Wellington, where the team won their first NPC title in 14 years in his opening season as head coach in 2000.
The 52 year-old will replace Gregor Townsend when he becomes Scotland's national head coach at the start of the 2017/18 season.
Scottish Rugby CEO Mark Dodson said: "It is a clear indication of the progress Scottish Rugby, and Glasgow Warriors, are making that we can attract a coach of Dave's experience to Scotland to work with our players.
"Gregor has developed a great winning culture at Glasgow Warriors and I'm very confident Dave will be able to build on that solid foundation to bring more success to the club.
"We have a group of talented Scottish players at Glasgow and we want to maintain their progress and this appointment will expose them to fresh ideas and new approaches to the game. Dave's experience at the Chiefs and at New Zealand age-grade level can only help to develop them and the team further."
Dave Rennie said: "I am delighted to be appointed to the Head Coach role at Glasgow Warriors. The opportunity to work with such an exciting group of players at a club that has such big ambitions and a great winning culture was one I couldn't turn down. It is no secret I have been interested in coaching abroad and this chance with Scottish Rugby fitted the bill perfectly.
"As a coach you want to test yourself in new environments with new challenges. The work Gregor and his team have done at the Warriors speaks for itself and I am very motivated to continue that success and build the club."
Glasgow Warriors Managing Director, Nathan Bombrys said: "We are incredibly proud at Glasgow Warriors that Gregor will be the next Scotland national coach at the end of next season.
"Our club has a very strong culture and fantastic support from our fans, so it was important that our new head coach can help us to evolve and continue to be successful and grow our club on and off the pitch.
"The ambition of the club is demonstrated by the fact we're bringing in a championship-winning coach of the highest calibre and I look forward to working with Dave and welcoming him to Glasgow when he arrives.
"For now our focus is on preparing for the new season and putting our full support behind Gregor and his team to achieve something special this season."