The municipality includes the smaller island of Agerø, and covers an area of 368 km2.

Its mayor is Egon Pleidrup Poulsen, a member of the Social Democrats (Socialdemokraterne) political party.

The 382-metre (1,253 ft) long Vilsund Bridge (Vilsundbro) connects the municipality at the town of Sundby over the Vil Strait to the town of Vilsund Vest in Thisted municipality.

Before the bridge was built there was a train ferry connection over the strait from the town of Nykøbing to Glyngøre, and a car ferry connection between Pinen at Mors and Plagen at Salling (i.e. "Pinen og Plagen" meaning "the Pain and the Torment").

Morsø's municipal council consists of 21 members, elected every four years.