Playoff first-timer Kaepernick outshined reigning NFL MVP Aaron Rodgers, who never got in sync for the Packers (12-6) in finishing 26 of 39 for 257 yards with two touchdowns.
Kaepernick ran for scores of 20 and 56 yards on the way to topping the rushing mark of 119 yards held by Michael Vick. Crabtree caught TD passes of 12 and 20 yards in the second quarter and wound up with nine receptions and 119 yards for the Niners (12-4-1) in the NFC divisional matchup.
San Francisco had 579 total yards, 323 on the ground.
The 49ers will play at Atlanta or host Seattle next week in the NFC championship game.
Breitbart Sports contributed to this report.