SGH Museum is located at Bowyer Block. Bowyer Block was opened on 29 March 1926. Part of the Bowyer Block was demolished in the 1980s to make way for the construction of the new Singapore General Hospital. It is the only one of the three blocks constructed in 1926 that remained standing today.

Bowyer Block was first known as 'Upper Block' of the new General Hospital opened in 1926, and was the main administration block accommodating the first and second class male wards and first class female wards. Together with the Middle and Lower Blocks, it was renamed Bowyer, Stanley and Norris Blocks respectively after the Second World War, in memory of the three officials who were closely associated with the hospitals of Singapore and who had lost their lives during the period. It was renamed after Chief Medical Officer, Dr John Herbert Bowyer, who had perished during the war.

Today, the Bowyer Block is the only building of the three blocks that still remained standing.

The SGH Museum was officially opened by His Excellency, Mr S R Nathan, President of the Republic of Singapore on 20 May 2005.