The Böd of Gremista, situated at the north end of Lerwick, Shetland, Scotland, is a typical 18th-century Shetland fishing booth (or böd). It is protected as a category B listed building.

The Böd was built in 1780 by Arthur Nicholson, local landowner and manager of the Gremista fishing station. The building provided family accommodation and a store for the fishing and fish-curing activities that took place on the adjacent beach.

It was the birthplace of Arthur Anderson, co-founder of Peninsular and Oriental Steam Navigation Company, (now P&O).

The building fell into disrepair but was restored with grants provided by P&O and the UK Government in 1970, the first phase being completed in 1976. It opened as a museum in 1987, was acquired by the Shetland Museums Service in 1991 and was run as a community museum by the Shetland Amenity Trust. The exhibition included period furnishings and other artefacts together with displays on fishing and the life of Anderson. In 2017 the building was a Shetland textile museum run by a board of trustees and exhibited Shetland textiles from 1800s to the present day including wool, jumpers, Fair Isle, lace, rugs and weaving.

• Irvine, James W. (1985). Lerwick: The Birth and Growth of an Island Town. Lerwick: Lerwick Community Council. ISBN 978-0-9509669-1-5.

• Böd of Gremista and Shetland Textile Museum - official site

60°10′13.0008″N 1°9′47.9982″W / 60.170278000°N 1.163332833°W / 60.170278000; -1.163332833