Zachary Levi & Missy Peregrym -- Secret Wedding Ends in Secreter Divorce

Less than a year after "Chuck" star Zachary Levi and Missy Peregrym shocked their fans by getting secretly married in Hawaii last June ... the couple is now headed for divorce.

Missy was the one who filed in L.A. last week, and the docs make it sound like this is gonna be pretty amicable. According to Missy, neither of them wants spousal support, and there's no community property ... so, no reason to squabble over it.

Missy, who's on "Rookie Blue," lists their date of separation as December 3 ... which means things got rocky before they even hit the six month mark.

In a recent interview, Zachary spoke openly about how challenging marriage can be.

Little did we know.