Former Scotland international Hogg has spent the last seven years with the Cherry and Whites, where he held the role of forwards coach, but felt the chance to take up his first head coach position was too good to turn down.
Hogg's switch reunites him with former Gloucester boss Dean Ryan, who was recently named as the Warriors new director of rugby following the departure of Richard Hill. Aviva Premiership side Worcester had previously announced former New Zealand and Wales full-back Shane Howarth as their backs coach.
"It is vital we build a strong coaching team and reputation here at Warriors and so I'm delighted to be able to reunite my relationship with Carl Hogg at the Warriors," said Ryan.
"We spent several seasons working closely together at Kingsholm and Carl has played an important and influential role in all that Gloucester Rugby has achieved in recent years. He brings a level of expertise and detail which will enhance Worcester Warriors and all that we do going forward.
"The combination of Shane Howarth and Carl Hogg is an exciting one and they will complement each other extremely well. I know Carl is excited by this opportunity in his career and we are looking forward to the 2013/14 season and the challenges ahead."
Worcester have paid compensation to Gloucester in order to get their man, as Hogg still had a year remaining on his contract at Kingsholm.
The 43-year-old won five caps for his country during his playing career before moving into coaching following his retirement in 2003.
He worked alongside current England boss Stuart Lancaster and Tony Stanger at the Leeds academy before moving to London Welsh and Edinburgh. He joined Gloucester in 2006, initially working with the academy before being promoted to the role of forwards coach.
He said: "I have been presented with an exciting opportunity to move forward in my coaching career as head coach at Worcester Warriors. It is a fantastic new challenge and I look forward to the season ahead at Sixways, and of course the local derbies between Worcester Warriors and Gloucester."