Murray, 45, playing for the Ardsley Cricket Club, slammed 137 not out in his side's 250 off 40 overs against Melbourne New York Alliance Cricket Club at Baisley Pond Park in Queens, New York. In reply, Melbourne only reached 225.
Murray also featured in Ardsley's eight-wicket win over Somerset at Canarsie Park at 88th Street here.
The former Grenada and Windward Islands player made an unbeaten 91 in his side's 163 for two, replying to Somerset's 162.
On Sunday, Murray will line-up again for Ardsley CC in a knock-out fixture against Challengers at Seaview and 108th Street in Brooklyn, New York.
Also playing for Ardsley CC is former Grenada and Windward Islands player Kester Sylvester.