|Distance:||4.9 miles (7.9 km)|
|Meets:||A166, B1248, B1253|
|Route outline (key)|
The B1251 is a rural B-road in the Yorkshire Wolds.
It starts on the A166 on the eastern edge of Fridaythorpe, several miles west of Driffield. Heading northeast, it descends through Fimber to cross the B1248 at a roundabout adjacent to the long-gone Sledmere & Fimber railway station.
Continuing in the same direction, the B1251 climbs slowly to reach the grounds of Sledmere House. It ends at a TOTSO of the B1253 in the parkland adjacent to a war memorial built to look like an Eleanor Cross (it is obviously not a true Eleanor Cross as the northernmost was in Lincoln).