The uniaxial compressive strength of rock is one of the most important parameters in the design of rock structures. The punch test is one of the index tests that has the ability to indirectly estimate the uniaxial compressive strength of rocks. This test is simple, cheap, and fast, does not require special preparation, and can be performed with smaller-sized samples. Punch tests are performed in two forms: block and cylinder. In the present study, the effectiveness of the cylindrical punch test in estimating the uniaxial compressive strength of six types of sedimentary rocks from the Qom Formation, including greenstone, wackstone-mudstone, bondstone, calclite, gypsum, and silty marl, in the south of Qom, was investigated. Also, the effect of the diameter of the cylindrical punch punch on the changes in the cylindrical punch index was studied using four punches with different diameters (10, 13, 16, and 19 mm). The findings show that tests performed with a 10 mm diameter punch with the highest coefficient of determination have yielded the most appropriate results for estimating the uniaxial compressive strength for all rocks. The uniaxial compressive strength of rock is one of the most important parameters in the design of rock structures. The punch test is one of the key tests that has the ability to indirectly estimate the uniaxial compressive strength of rocks. This test is simple, cheap, and fast, does not require special preparation, and can be performed with smaller-sized samples. Punch tests are performed in two forms: block and cylindrical. In the present study, the efficiency of the cylindrical punch test in estimating the uniaxial compressive strength of six types of sedimentary rocks from the Qom Formation, including greenstone, wackstone-mudstone, bondstone, calclite, gypsum, and silty marl, in the south of Qom, was investigated. Also, the effect of the diameter of the cylindrical punch on the changes in the cylindrical punch index was studied using four punches with different diameters (10, 13, 16 and 19 mm). The findings show that the tests conducted with the 10 mm diameter punch with the highest coefficient of determination gave the most appropriate results for estimating the uniaxial compressive strength for all rocks.