Sources told ESPN's Jeremy Fowler last week that Wilson is expected to be out four to eight weeks.
Wilson's streak of 149 consecutive regular-season starts will end. According to ESPN Stats & Information, it was the sixth-longest streak in NFL history among quarterbacks.
Wilson was eligible to practice this week prior to the IR move. The Seahawks listed him as a nonparticipant Wednesday and a limited participant Thursday.
Carson has been dealing with a neck issue that flared back up the week of the Rams game.
Coach Pete Carroll had provided some optimism about the running back Monday, saying Carson made a "big turn" in the right direction over the weekend. He reiterated Friday that Carson felt much better at the start of the week but said he didn't make enough progress since then, which is why he didn't practice and ultimately was placed on injured reserve.
"It's better for us to get him back and make sure that we don't rush it back, and so we're going to just take this time. It is a delicate thing," Carroll said. "He's got something going on in his neck, so we've got to make sure that we do it really well, so we're going to take care of him. This just seems like the right decision."
Carroll said running back Rashaad Penny will be ready to play, barring any setbacks, when he is eligible to come off injured reserve next week.
"He's really hungry to play and help us," Carroll said.
The Seahawks also ruled out backup tackle Cedric Ogbuehi (chest/biceps). No other players have game designations.