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Tevez returned for a third spell with Boca in 2018 and helped the famous club win the Argentinian Primera Division title last year.
There were reports that Tevez, who was rocked by the death of his father in February, would retire on Friday but the 37-year-old revealed he was leaving Boca rather than calling time on his career.
The former Argentina international, who made his Boca debut aged 16, said: I thought this moment would never come, but here I am. It will be very difficult to speak to them [Boca fans], but here I am to tell them that I will not continue at the club.