We directly derive the crossing (fusion and braiding) matrices for arbitrary isospins of the WZW SU (2) model in the Feigin-Fuchs integral representation and prove explicttly that they are quantum Racah-Wigner 6j matrices under proper normalization conditions. For integer k of the Kac-Moody algebra, the matrices may be truncated and the admissible states ane chased under analytic continuation. The aon-admissible terms will non appear in the other channels after braiding. The consistency of crossing matrices with he ocalitv condition is also proven. Similar results are obrained for the minimal models, which are in agreement with the results obtained by G. Felder. J, Frdlich and G. Keller.