The following lists events that happened during 1798 in Australia.

Leaders Monarch – George III Governor of New South Wales – John Hunter Lieutenant-Governor of Norfolk Island – Philip Gidley King Inspector of Public Works – Richard Atkins

Events 2 January – George Bass sights Wilsons Promontory. 26 January – The koala and lyrebird are observed by John Price on an expedition led by John Wilson. 12 February – Matthew Flinders explores the Furneaux Islands. 25 February – John Hunter names Bass Strait in honour of George Bass. 14 May – HMS Nautilus arrives in Sydney, carrying missionaries from the London Missionary Society . 1 October – Sydney's first church St Philip's is destroyed by fire. 7 October – George Bass and Matthew Flinders leave Sydney to explore Van Diemen's Land on the Norfolk. 7 October – St Phillip's Church founded in Sydney, completed in 1809. 8 November – Nauru discovered by John Fearn. 9 December – Bass and Flinders confirm the existence of the Bass Strait. 22 December – Norfolk enters the River Derwent, 25 December – George Bass climbs Mount Wellington.

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