Several dozen activists turned up and were surrounded by police, after which scuffles began, with one man reportedly tearing up a gay rights banner.
The march was banned in order to "safeguard security and public order".
Istanbul Pride, which has occurred annually since 2003 and was due to be held on 26 June, was also prohibited.
Homosexuality is not illegal in Turkey - unlike in many Arab countries - but analysts say homophobia remains widespread.
