Robert Inglis may refer to:
- Robert Inglis (merchant) (died 1655), Scottish merchant financier in London
- Sir Robert Inglis, 2nd Baronet (1786–1855), English Conservative politician
- Rob Inglis (born 1933), audiobook narrator, actor and playwright
- Bob Inglis (born 1959), American politician
- Robert Inglis (engineer) (1881–1962), Scots-born railway engineer
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