We report on results for the NLO corrected differential distributions $dsigma/dp_T$ and $dsigma/dy$ for the process $p + pto H + X$, where $p_T$ and $y$ are the transverse momentum and rapidity of the Higgs-boson $H$ respectively and $X$ denotes the inclusive hadronic state. All QCD partonic subprocesses have been included. The computation is carried out in the limit that the top-quark mass $m_t to infty$. Our calculations reveal that the dominant subprocess is given by $g + g to H + X$ but the reaction $g + q(bar q) to H + X$ is not negligible. Also the $K$-factor representing the ratio between the next-to-leading order and leading order differential distributions varies from 1.4 to 1.7 depending on the kinematic region and choice of parton densities.