"The CFL will not tolerate discrimination of any kind," CFL commissioner Mark Cohon said in a statement. "Whether it's race, religion or sexual preference, our values are of acceptance and equality.
"We fully support openly gay athletes in our league, and in the sports community in general."
On Monday, the Stampeders said they were "outraged by the offensive comments" posted on Price's Twitter account that appeared to disparage the sexual orientation of Sam, who last weekend became the first openly gay football player to be selected in the NFL draft.
ESPN and the NFL Network both included video of Sam kissing his male partner in celebration during their coverage of the draft.
A tweet removed from @MauricePrice17 within an hour of its initial posting said "My faith won't allow me to ACCEPT what took place over the weekend. Sorry. NOT sorry! #AdamandEve #NotAdamandAdam."
The Stampeders said they would deal with the matter internally.
A later tweet from Price's account, which was also removed, said "Of course my words get misconstrued. I wish Sam nothing but the best and hope he has a fantastic career. It's nothing personal against him."
The CFL did not disclose the amount of the fine.
With files from The Associated Press.
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