9:21AM BST 29 Jul 2011
Midfielder Eagles, 25, and defender Mears, 28, have both agreed three-year contracts.
"Both Chris and Tyrone are top players and have shown that they have the ability to compete successfully at the highest level," said Bolton manager Owen Coyle, who knows the players from his time as manager of Burnley.
"I have worked with them both before and know what they will bring to the club in terms of character and commitment and along with Nigel Reo-Coker, we have added real quality to the squad."
The pair become Coyle's third and fourth signings of the summer after the arrivals of Darren Pratley and Reo-Coker.
"I know that it is a good squad so the challenge for me will be to work hard and then look to contribute," said Eagles.