AnewclassofconstrainedmultiobjectivegameswithinfiniteplayersinnoncompactlocallyconvexH-spaceswithoutlinearstructureareintroducedandstudied.ByapplyingaFan-Glicksbergtypefixedpointtheoremforuppersemicontinuousset-valuedmappingswithclosedacyclicvaluesandamaximumtheorem,severalexistencetheoremsofweightedNath-equilibriaandParetoequilibriafortheconstrainedmultiobjectivegamesareprovedinnoncompactlocallyconvexH-spaces.Thesetheoremsimprove,unifyandgeneralizethecorrespondingresultsofthemultiobjectivegamesinrecentliteratures.