The 26-year old American defender, who also operated at midfield during the campaign, has won the club's official player award which comes in the wake of his Bolton Wanderers Supporters Association Player of the Year prize won earlier in the week.
"It's a really cool feeling to be recognised again by the club's supporters," Ream told bwfc.co.uk. "As I said before, it's nice and humbling knowing that people think you've done a good job, but at the end of the day it's about the squad.
"Personally, the past two years have definitely been a real eye opener. When I was involved last season I was a little unnerved purely by how different the style was to the other leagues I've played in.
"There are so many demands in this league and to begin with I probably wasn't prepared for that, but it definitely gave me motivation coming into this season.
"I feel settled off the field, and that's also a big factor whether people believe it or not. I feel happy and am working in a structure and programme that really helps us, as players."
Ream is the second American in four years to land the award after Stuart Holden was named Player of the Year in 2010/11. He joins such names as Jay Jay Okocha, Kevin Davies, Ricardo Gardner and Jussi Jaaskelainen on the Reebok Stadium honour board.
Bolton Wanderers FC (@OfficialBWFC) May 1, 2014
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