We present measurements of the inclusive production cross sections of the (1S) bottomonium state in p collisions at =1.96 TeV. Using the (1S)µ+µ- decay mode for a data sample of 159±10 pb-1 collected by the D0 detector at the Fermilab Tevatron collider, we determine the differential cross sections as a function of the (1S) transverse momentum for three ranges of the (1S) rapidity: 0<|y|0.6, 0.6<|y|1.2, and 1.2<|y|1.8.