Murray was deputy leader to Eric Shipton on the 1951 Everest Reconnaissance Expedition, but failed to acclimatise at altitude and so was not included in the 1953 team. He also explored part of the Api group in Nepal with John Tyson in 1953. He was an active campaigner to protect wilderness areas of Scotland from ill-considered development. In 1961, a major success was the defeat of plans to build a hydroelectric scheme in Glen Nevis.