The Division was named after George Fletcher Moore, the first Advocate-General of Western Australia, and is at present a marginal Liberal seat held by Ian Goodenough since the 2013 federal election, having changed significantly throughout its history in both geographical area and in political character.

Due to significant demographic change, the seat's boundaries and constituency has evolved considerably since it was proclaimed at the 11 May 1949 redistribution.

The 28 February 1980 redistribution moved much of the electorate's rural hinterland into the new seat of O'Connor, and the creation of Cowan four years later, in the suburbs north of Reid Highway to Whitfords Avenue, transformed Moore into a safe Labor seat, with a population centred on Midland, but still including the shires of Chittering, Gingin and Dandaragan to the north.

[2] In August 2021, the Australian Electoral Commission (AEC) announced that Moore would gain the suburbs of Carine, North Beach and Watermans Bay, along with parts of Gwelup, Karrinyup and Trigg, from the abolished seat of Stirling, along with the remainder of Kingsley from the seat of Cowan.

[3] The seat presently contains the vast majority of the City of Joondalup, in the northwest metropolitan area of Perth.