With 10 minutes remaining, Blerim Dzemaili hammered in a free-kick for the Swiss before Granit Xhaka's fine effort came as consolation for the largely under-par Swiss.
Benzema, fresh from his brace in the victory over Honduras, curled a fifth-minute effort just wide of Diego Benaglio's goal as he came in off the left side following Didier Deschamps' decision to play Giroud through the middle.
Switzerland were forced into an early defensive change as Philippe Senderos replaced Steve von Bergen, who was left groggy and bloody as a stray Giroud boot caught him in the face.
His central-defensive partner Johan Djourou did well to clear a low cross away from the lurking Benzema but France took the lead from the resulting corner.
Valbuena's outswinging set-piece was met by Giroud, whose header was too strong for Benaglio to keep out as the Wolfsburg goalkeeper could only get a despairing hand to his effort.
Benzema outstanding yet again, more evidence towards him becoming that complete forward. Great work rate, finishing and link-up play.
The lead was doubled just 13 seconds after the kick-off as Valon Behrami gifted possession to Benzema, who broke free and slid a pass into Matuidi whose low shot was good enough to beat Benaglio at his near post.
Xhaka netted for Switzerland but was rightly flagged offside before Haris Seferovic was inches away from turning in Xherdan Shaqiri's cross.
France should have then gone three goals ahead after Djourou was penalised for tripping Benzema in the box, but the Real Madrid forward's poor penalty was easily pushed away by Benaglio and Yohan Cabaye amazingly volleyed the rebound against the crossbar.
But Deschamps' side did go three ahead before half-time as Giroud broke clear down the left and delivered a perfect cross for Valbuena to tap home at the far post, with the Marseille playmaker coming close to adding another shortly afterwards.
The second half started at a slower pace, with Giroud firing wide on 55 minutes before Benzema saw an effort deflected over on the hour.
Deschamps made two changes, with Giroud and Mamadou Sakho replaced by Paul Pogba and Laurent Koscielny as he looked to utilise his squad with the match won.
Pogba had an immediate impact as he lifted a perfect pass through to Benzema who finally got on the scoresheet, finishing coolly as Senderos failed to clear.
Patrice Evra broke into the box but could only clip an effort high and wide before Sissoko slotted home a fifth moments later.
Benaglio then denied Valbuena with his legs and kept the score down to five by pushing away an acrobatic Benzema strike.
Switzerland's first consolation came with 10 minutes remaining courtesy of a long-range free-kick as Dzemaili drilled a low effort through the legs of Benzema in a flimsy French wall and out of the reach of the diving Hugo Lloris.
Xhaka added a second as he latched on to Gokhan Inler's pass to thrash a volley past Lloris as Switzerland finished strongly to reduce the deficit.
Benzema thought he had added a spectacular sixth but the referee had already blown for full-time before he swept home from the edge of the area.