|Distance:||4.4 miles (7.1 km)|
|Meets:||B6532, A167, B6290|
|Old route now:||B6532|
|Route outline (key)|
The B6313 is a medium-length B-road in north Durham.
The road's original western end was on the A693 in Oxhill, from where it headed south to South Moor then east to Craghead, latterly being the dominant partner in a multiplex with the B6532. This numbering survived until the 1990s but is now unclassified, with the B6532 taking over what was the multiplex.
The current western end of the B6313 is therefore in the centre of Craghead. The road heads east through the village, running along the top of a deep valley. Soon after entering open country it goes through a wood before descending into the valley, turning away just before crossing the stream and climbing out again.
After reaching the edge of Chester-le-Street the road drops into the valley once more - and this time it does cross the stream. The B6313 runs along the valley bottom, recrossing the stream a few times before going under a viaduct on the East Coast Main Line to reach the town centre. The road reaches traffic lights by the Methodist Church; this is the original eastern end of the road, on the original line of the A1. Now, however, the town is bypassed and so the B6313 continues ahead along what was originally the A1053 to end at a roundabout on the bypass, now numbered A167.