In this work limit probabilities of first-order properties of the random $s$-uniform hypergraph in the binomial model $G^{s}(n,p)$ are studied. We give a complete discription of all positive $α$ such that $G^{s}(n,n^{-α})$ obeys Zero-One Law. Moreover, for any rational $ρ\geq 1/(s-1)$ we prove the existence of a strictly balanced $s$-uniform hypergraph with the density $ρ$.