Muker is a civil parish in the county of North Yorkshire, England. It contains 51 listed buildings that are recorded in the National Heritage List for England. Of these, two are listed at Grade II*, the middle of the three grades, and the others are at Grade II, the lowest grade. The parish is in Upper Swaledale and it contains the small settlements of Muker, Angram, Ivelet, Keld, Thwaite, West Stonesdale and Birkdale, isolated farmsteads, and the surrounding countryside and moorland. Most of the listed buildings are farmhouses and farm buildings, houses, cottages and associated structures. The others include a church and a chapel, items in the churchyard, bridges, a public house, limekilns, boundary stones, two institutes, and four telephone kiosks.