The B6413 is a cross country route running roughly parallel to the A6 on the edge of the Eden flood plain and the Pennines. It was originally unclassified but gained its number in the late 1920s.
The road starts on the A6 in Plumpton and heads east to Lazonby, meeting the B6412 next to Lazonby and Kirkoswald station on the Settle - Carlisle line. It then crosses the River Eden and runs through Kirkoswald village itself, and gradually winds north past Newbiggin Fell. It goes over the Tyne Valley Line at a level crossing and then under the A69 Brampton Bypass. It runs into the centre of town and goes along Front Street to end at a T-junction on the A6071.