In this paper, generalizations of the well-known Chebyshev type integral inequalities for pseudo-integrals are proved. Two cases are considered of the real semiring with pseudo-operations: One, when pseudo-operations are de ned by monotone and continuous function g (then the pseudo-integrals reduces g- integral), and the second with a semiring ([a; b]; max;⊙); where the pseudo- multiplication ⊙ is generated.