The Wood Street Compter (or Wood Street Counter) was a small prison within the City of London in England.

It was primarily a debtors' prison, and also held people accused of such misdemeanours as public drunkenness, although some wealthier prisoners were able to obtain alcohol through bribery.

The Wood Street Compter was still active in 1727 when The London Gazette (6 July p4) listed 13 insolvent debtors awaiting court on 25 August.

During the closure of the compters, debtors were held in prisons in Southwark, including the Marshalsea and King's Bench Prisons, Borough Compter and Horsemonger Lane Gaol.

Some wine cellars on Mitre Court were marketed as a party venue under the name of "The City Compter" but these appear to date from the mid 18th century; no sign of the prison was found during archaeological investigations of the site of a new office block at One Wood Street.