Peter Neilson may refer to:
- Peter Neilson (footballer) (1890 – after 1913), Scottish footballer
- Peter Neilson (poet) (1795–1861), Scottish businessman, author, and naval inventor
- Peter Neilson (politician born 1879) (1879–1948), New Zealand MP for Dunedin Central
- Peter Neilson (politician born 1954) (1954–2022), New Zealand MP for Miramar
See also
- Peter Nielsen (disambiguation), multiple people
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