Wilson finished with 250 aerial yards on 15-of-19 efficiency and handed the Seahawks (11-5) the victory with a 1-yard scoring run with 1:39 left in the contest.
The signal-caller finished the regular season with 26 touchdown passes, tying the NFL rookie record held by Peyton Manning, as Seattle locked up the NFC's fifth seed.
Marshawn Lynch rambled for 100 yards on 18 carries and Golden Tate made three catches for 105 yards for Seattle.
The Rams (7-8-1) were led by Sam Bradford, who picked up 252 yards on 25-for-42 passing with a touchdown and an interception.
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