Redpath is in his second season as Head Coach of Gloucester having initially joined the club as backs coach following a glittering playing career.
Redpath's first campaign in charge saw the side reach the LV= Cup final and finish seventh in the Guinness Premiership table while the 2010-11 season has seen the club secure its first silverware in five years with the capture of the LV= Cup and third place in the Aviva Premiership.
Hogg has been at Kingsholm since 2006 and served as Academy Manager before taking on his current role as forwards coach. Like Redpath, he is a former Scotland international.
The new contracts reflect the progress the club has made in the past two seasons but, typically, Redpath paid tribute to his support staff and the role they have played.
"We've got an outstanding group of staff, from Carl right through to Barny Allen and Bob Stewart, and all their hard work has gone into what we've achieved so far this year.
"The performance so far has yielded a contract renewal for myself and Carl, and I'm delighted to stay here. I've thoroughly enjoyed it even though it's been tough.
"We're trying to build an old-fashioned club culture, I can't think of any better place to do that than at Gloucester, and three years gives us a good platform and the challenge now is to improve again for next year."