3 April – Times House is officially opened, serving as the operation headquarters of Singapore's newspapers.[4]
May
13 May – The third Merdeka Talks took place, which concluded with the same agreement from 1957.[5]
July
1 July – The Legal Aid Bureau is created to assist the need with legal matters.[6]
August
1 August – Royal assent was given to the State of Singapore Act 1958, providing for internal self-government for Singapore
8 August – The Master Plan, which was intended to guide Singapore's development over a two-decade period, is approved by the Singapore government and comes into force.[7]
9 August – The first air-conditioned supermarket, Fitzpatrick's Supermarket is officially opened. Since then, the area has been taken over by The Paragon.[8][9]
November
22 November – The Shaw House, a 10-storey office block, is officially opened by then Chief Minister Lim Yew Hock.[10]
24 November – The Syariah Court is established to tighten divorce processes and safeguard marriages.[11]
Date Unknown
The National Anthem "Majulah Singapura" is composed by Zubir Said and was selected as the National Anthem a year later on 11 November 1959 when Singapore gained full internal self governance from the British, the anthem was formally adopted as Singapore's National Anthem after it gained Independence in 1965.