Officers from Derbyshire Roads Policing Unit said the vehicle caught their attention at Tideswell, in the Peak District.
The driver was later arrested after failing a roadside breath test, officers said.
A police unit spokesperson said on Twitter: “Golf attracts our attention with poor driving.
"Turn around to have a look, by which time the driver has crashed in to a wall. Drunk - blows 86 (limit 35). Arrested.”