The electronic structure and magnetic properties of the full-Heusler alloys Co2TiZ and Co2MnZ (Z element from groups III and IV) were studied by first principle calculations. In this paper it is shown that Co2TiSi, Co2TiSn, and Co2MnSi are half metallic ferromagnets. The magnitude of the total magnetic moment shows a trend consistent with Slater Pauling behavior. The total magnetic moment also depends on the kind of Z atoms although they do not directly contribute to it.