T. Hicks introduced in {3] the notion of a $C$-contraction in a probabilistic metric space $(S,\mathcal F,T)$. If $t$-norm $T$ is min Hicks proved a fixed point theorem for a $C$-contraction. Here we shall introduce the notion of an $(n,f,g)$-locally contraction, as a generalization of the notions of a $C$-contraction and of an $f$-contraction in the sense of V. Radu [5]. Two fixed point theorems for an $(n,f,g)$-locally contraction are proved.