The 29-year-old moved to The Rec from Leeds three years ago and has made a huge impression with his effective line-out work and mobility around the field.
He takes over the role from Luke Watson, with the former South Africa back-rower having decided to return to his homeland.
Hooper said: "It was a huge honour to be asked to be captain, and I didn't hesitate in accepting.
"I am very excited for the coming season, and with the squad we have here everything is pointing towards a successful future for Bath Rugby.
"We know that there is a lot of hard work to be done first though, and I am looking forward to getting on with training hard, fighting for my place in a very competitive squad, and leading the boys into the new season."
Director of rugby Sir Ian McGeechan added: "Hoops is a natural leader, both on and off the field.
"He has very strong leadership qualities, which have been and will continue to be a huge asset to the club.
"He is a very strong communicator, a hugely dedicated professional and, most importantly, has the total respect of all the players."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
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Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
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The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.