Multi-patent pools based on different technical standards are appearing in many technique industries with competitions becoming intensive among technical standards. Theoretical model of cumulative innovation effect of competitive patent pools based on different technical standards is developed by dynamic game theory in this paper to study the cumulative innovation effect of competitive patent pool under the different patent types of relationship between patents, which are blocking patent, substitutability patent and additional innovation patent. This research indicates: the R&D investments of an enterprise inside a patent pool increase (or decrease) as the R&D investments of other enterprises inside the same patent pool decrease (or increase) or as the R&D investments of the enterprises inside another patent pool or the R&D investments of the enterprises outside patent pools increase (or decrease) during the patent race of blocking patent. The bigger differentiation degree between patents is, the R&D investments of all enterprises are more during the patent race of substitutability patent. The R&D investments of an enterprise inside a patent pool are bigger than outside the patent pools during the patent race of additional innovation patent.