We study Λ andΛ production asymmetries in pp → Λ(Λ)X, pp → J/ψΛ(Λ)X, and pp → µ ± Λ(Λ)X events recorded by the D0 detector at the Fermilab Tevatron collider at √ s = 1.96 TeV. We find an excess of Λ's (Λ's) produced in the proton (antiproton) direction. This forward-backward asymmetry is measured as a function of rapidity. We confirm that theΛ/Λ production ratio, measured by several experiments with various targets and a wide range of energies, is a universal function of "rapidity loss", i.e., the rapidity difference of the beam proton and the lambda.