Tunbridge Wells was the only district in Kent to vote Remain.
Maidstone was the first district to confirm a result at around 3am.
The biggest Leave vote came in Gravesham, with 65.4 per cent.
Neighbouring borough Wealden, which includes Crowborough, voted to leave by 52,808 to 44,084, 54.5 per cent to 45.5 per cent.
The turnout figures below include spoilt ballot papers.
Great Britain
Leave: 51.9% (17,410,742)
Remain: 48.1% (16,141,241)
72.2% turnout
Kent
Leave: 59.3% (576,607)
Remain: 40.7% (396,440)
76% turnout
Tunbridge Wells
Leave: 45.1% (29,320)
Remain: 54.9% (35,676)
79.1% turnout