Before the November meeting, Packers quarterback Aaron Rodgers noted how his team would likely have to beat the 49ers in San Francisco at some point this season to get to the Super Bowl.
The nine-year National Football League veteran's interception came with just under 10 minutes remaining in the third quarter and the Vikings trailing by a touchdown on third-and-9.
The Vikings only appeared competitive in the first quarter of Saturday's game, scoring a single touchdown to answer the 49ers' first.
The astounding Titans will meet the victor of Sunday's Houston Texans-Kansas City Chiefs game for the American Football Conference (AFC) title next Sunday. Year in and year out, he's one of the top corners in the game. Sherman expertly read Cousins' movements and gobbled up the football just in front of the logo before running it back 20 yards.
Minnesota had only seven first downs as Vikings cousin Kirk Cousins couldn't get on track and was sacked six times.
Cousins, who had led Minnesota to a surprise overtime win over the New Orleans Saints, passed for 172 yards this time, connecting on 21 of 29 attempts with one interception.
"(Bosa) has been a stud dog", said 49ers coach Kyle Shanahan.
Sherels' final error, off a towering 54-yard punt late in the third quarter, was recovered by the 49ers on Minnesota's 10-yard line and helped seal the victory.
The 49ers ran 186 yards - including 105 and two Tevin Coleman touchdowns - to control the game, and their defense overwhelmed Minnesota in every way.
The Vikings responded with a ride of seven games at 79 meters.
Seattle faces Green Bay at 6:40 p.m. EST Sunday at Lambeau Field in Green Bay, Wisc., to determine which team will battle San Francisco in the NFC Championship game.
Robbie Gould made a 35-yard field goal for the 49ers on the first drive of the second half.