The free field representation of the osp(1/2) current algebra is analy
zed. The four point conformal blocks of the theory are studied. The st
ructure constants for the product of two arbitrary primary operators a
re given and the fusion rules of the model are obtained. The connectio
n between the osp(1/2) current algebra and the minimal N = 1 superconf
ormal field theories suggested by these results is discussed.