Mugdock Castle was the stronghold of the Clan Graham from the middle of the 13th century. Its ruins are located in Mugdock Country Park, just west of the village of Mugdock in the parish of Strathblane. The castle is within the registration county of Stirlingshire, although it is only 2 kilometres (1.2 mi) north of Milngavie, East Dunbartonshire, on the northern outskirts of Greater Glasgow.

The lands of Mugdock were a property of the Grahams from the mid-13th century, when David de Graham of Dundaff acquired them from the Earl of Lennox. It is possible that the castle was built by his descendant, Sir David de Graham (d. 1376), or by his son in 1372. In 1458, the lands were erected into the Barony of Mugdock. Later, in 1505, the Grahams were created Earls of Montrose.