It was established in the 1960s when the Khushi family bought Jacobs and Turner, a Glasgow clothing firm started in 1938.
It has 140 stores in the UK and the Trespass headquarters remain in Glasgow.
Glasgow 2014 chief executive David Grevemberg said: "I am delighted to welcome such a well-known brand and great Glasgow success story into the Glasgow 2014 family of sponsors.
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