Abstract: We report a set of measurements of inclusive invariant p(T) differential cross sections of Lambda(0), (Lambda) over bar (0), Xi(+/-), and Omega(+/-) hyperons reconstructed in the central region with pseudorapidity vertical bar eta vertical bar < 1 and p(T) up to 10 GeV/c. Events are collected with a minimum-bias trigger in p<(p)over bar> collisions at a center-of-mass energy of 1.96 TeV using the CDF II detector at the Tevatron Collider. As p(T) increases, the slopes of the differential cross sections of the three particles are similar, which could indicate a universality of the particle production in p(T). The invariant differential cross sections are also presented for different charged-particle multiplicity intervals.