Peter Neilson

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