We have developed a new analytical peak separation analysis for superposed γ-ray peaks on 67Cu and 67Ga to measure the 68Zn(p,2p)67Cu and 68Zn(p,2n)67Ga reactions, unlike in most previous works that were employing a radiochemical separation to measure them. Based on the nuclear data such as the γ-ray intensity and the half-life for each nuclide, we may develop a new analytical method that enables us to estimate the respective counts arising from each nuclide, thereby obtaining the nuclear reactions. In comparison with the data in the literature, the two reactions in the present work are in good agreement with those of some previous works. In addition, we compared the present 68Zn(p,2n)67Ga reaction without the peak separation to the data in the literature without the chemical separation, and find that a good agreement is evident, enhancing the reliability of the 68Zn(p,x)65Zn and 68Zn(p,3n)66Ga reactions, which are further measured in the present work.