A by-election was held for the New South Wales Legislative Assembly electorate of Vaucluse on 29 August 1936 because of the death of United Australia Party member William Foster. The election was a contest between sons of politicians and both supported the UAP. The pre-selected UAP candidate was Hugh Foster, the son of the former member, while Murray Robson, the son of a long serving NSW UAP politician, William Robson, ran as an independent, having been an active supporter of the UAP, stating in his campaign that "I am a supporter of the UAP and of the Government".
<includeonly> William Foster () died.</includeonly>