Wyoming Highway 340 (WYO 340) is a 1.35-mile-long (2.17 km) east-west State Road in the U.S. state of Wyoming that runs through the community of Story in southern Sheridan County.

Wyoming Highway 340 travels from Sheridan County Route 2 just west of Story east into the community as North Piney Creek Road.

[2] It changes into Crooked Street as it turns southeast in Story and reaches its eastern end at Wyoming Highway 194.

[2][3] The entire route is in Story, Sheridan County.