In this research, the use of pumice (P) and zeolite (Z) natural pozzolans as mineral admixtures for high strength concretes has been investigated. For this purpose, four different types of high strength concrete are designed, by adding pumice and zeolite with proportions 0%P-15%Z, 5%P-10%Z, 10%P-5%Z 15%P-0%Z, respectively. Samples of produced concrete are subjected to several physical and mechanical tests. The test results are evaluated using statistical methods. In conclusion, it is determined that concrete mixtures with 0% Pumice - 15%Zeolite (0P15Z) and 5% Pumice-10% Zeolite (5P10Z) can be used in high strength concrete production.