Measurements of the so far unknown chiral-odd quark transverse spin distribution in either semi-inclusive Deep Inelastic Scattering(SIDIS) or inclusive measurements in pp collisions at RHIC will require the knowledge of chiral-odd fragmentation functions which serve as analyzer for transverse quark spin. Examples for these chiral-odd fragmentation functions are the so-called Collins fragmentation functions or the two-hadron interference fragmentation functions. The HERMES experiment has provided first evidence that transversity distributions and the related fragmentation functions might be different from zero. However, in order to extract quark transversity distributions from the transverse spin asymmetries observed in HERMES independent measurements of the relevant fragmentation functions will be required. These measurements can be carried our in e+e- annihilation into hadrons. We present a first measurement of Collins asymmetries with the Belle experiment using a data sample of 29.0 fb-1.