An kafa kulob din ne a shekarar 1965 a matsayin hadewar kungiyoyi biyu masu sana'a, Sportclub Enschede da Enschedese Boys. Daya daga cikin wadanda suka gabace shi, SC Enschede, ya kuma lashe kofin zakarun Holland guda daya a shekarar 1926. Nasarar farko ta kulob din ta fara ne bayan hadewar 1965, a karkashin kocin mai kirkiro Kees Rijvers. Twente ya gama na uku a 1969, na hudu a 1970, na biyar a 1971, na uku a 1972 da kuma a 1973.
Shekara ta 1965