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 Barbarians are one of the top invitational rugby sides with a long history and classic rugby jersey.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Lions get ready for their matches with this green training jersey. It's what the players wear. Get in the Gear!
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
$29.99
The Lions are ready to get their Australia tour underway. They arrive in Perth on Monday.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.
