The isoscalar giant monopole resonances (ISGMRs) of hypeuclei 42(AA)Ca,122(AA)Sn,and 210(AA)Pb are investigated using a fully self-consistent Skyrme-Hartree-Fock plus random phase approximation method.The Skyrme-type forces,SGII,No.5 and S(A)(A)1,are adopted to describe the nucleon-nucleon,(A) hyperon-nucleon and (A) hyperon (A) hyperon (AA) interactions,respectively.For a given hyperon fraction,we find that effects of (AA) interaction on the properties of infinite symmetric nuclear matter and finite hypeuclei are very small.The ISGMR strengths are shifted to the high energy region when two (A) are added into normal nuclei.The changes are from two parts,one is due to the mean field calculations,and the other is from the residual interaction associated with (A) hyperons.The constrained energies are increased by about 0.5 0.7MeV,which consequently enhances the effective incompressibility modulus of hypeuclei.