Route 341 begins as a continuation of Dutchess County Route 3 at the New York state line in Kent and heads southeast along Bog Hollow Brook and Macedonia Brook.

It crosses the Housatonic River and continues southeast, then turns east and northeast across the town into Warren.

In Warren, it continues generally east to the center of town, then turns south for a long overlap with Route 45.

In Washington, it turns south to end at an intersection with U.S. Route 202 (US 202) by the Shepaug River in the Woodville section of town.

Modern Route 341 was established as part of the 1932 state highway renumbering.