Miller won the 23rd minute penalty which saw Camilo give the Whitecaps a chance at BC Place after the Revs had scored twice in the opening 20 minutes.
The former Wolves, Rangers and Celtic ace then equalised six minutes prior to the break with a fabulous goal where he flicked the ball over his marker before advancing into the area and slotting neatly beyond Revs keeper Bobby Shuttleworth.
Miller edged Vancouver ahead with just over 20 minutes left with a sublime looped volley to give his side a vital victory at home, taking his personal tally to five goals from six outings.
Miller becomes the first Whitecaps player this season to receive the weekly nod and the first since Camilo was voted in by North American Soccer Reporters in Week 3 of 2011.
2013 MLS Player of the Week
Week 16: Kenny Miller (Vancouver Whitecaps) Week 15: Olmes Garcia (Real Salt Lake) Week 14: Diego Fagundez (New England Revolution) Week 13: Marco Di Vaio (Montreal Impact) Week 12: Eddie Johnson (Seattle Sounders) Week 11: Will Bruin (Houston Dynamo) Week 10: Graham Zusi (Sporting Kansas City) Week 9: Tim Cahill (New York Red Bulls) Week 8: Jack McInerney (Philadelphia Union) Week 7: Brad Davis (Houston Dynamo) Week 6: Ryan Johnson (Portland Timbers) Week 5: Will Johnson (Portland Timbers) Week 4: Juan Agudelo (Chivas USA) Week 3: Bill Hamid (DC United) Week 2: Robert Earnshaw (Toronto FC) Week 1: Mike Magee (LA Galaxy)