“Fun Home,” a poignant and raw exploration of family, memory, sexuality and suicide, on Sunday completed a long journey from the margins to the mainstream as it won the Tony Award for best new musical.

The show, adapted from the best-selling graphic memoir by Alison Bechdel, bested more traditionally entertaining nominees, propelled by rapturous reviews and, in recent weeks, sold-out crowds to an unexpected victory that is likely to mean a longer run on Broadway and a longer life around the country.

The victory came at the end of Broadway’s biggest night, and suggested Tony voters were in an artistic mood this year, choosing ambitious, sophisticated productions over more conventional and commercial fare.