The unit was re-established in March 1948 as No. 34 (Communications) Squadron at RAAF Station Mallala, South Australia, where it supported activities at the Woomera Rocket Range before disbanding in October 1955. It was re-raised as No. 34 (VIP) Flight in March 1956 at RAAF Base Canberra (later Fairbairn). No. 34 Flight was redesignated No. 34 (Special Transport) Squadron in July 1959, and No. 34 Squadron in June 1963. During the 1960s it operated Dakotas, Convair Metropolitans, Vickers Viscounts, Dassault Falcon-Mysteres, Hawker Siddeley HS 748s, and BAC 1-11s, the last three types continuing in service until the late 1980s. The squadron's fleet consisted solely of Dassault Falcon 900s from 1989 until 2002, when it began operating the 737 and Challenger. The Challengers were replaced with Dassault Falcon 7Xs in 2019.