AbstractTransverse momentum spectra of direct (prompt) photons from two‐body processes in high‐energy proton–proton (p+p) collisions are analyzed in this paper. The experimental invariant cross‐sections are collected at mid‐rapidity in p+p collisions measured by the UA6, CCOR, R806, R110, PHENIX, NA24, CMS, ALICE, and ATLAS Collaborations over a center‐of‐mass energy range from 24.3 GeV to 13 TeV. In fitting the data, different kinds of functions are used which include the revised Tsallis–Pareto‐type function (the TP‐like function) at the particle level, the convolution of two TP‐like functions at the quark level, and the root‐sum‐of‐squares of two revised Tsallis‐like functions in which the quark chemical potentials or , where μB is the baryon chemical potential. The values of three main free parameters have been extracted: the effective temperature T, power index n0 (or entropy index q), and correction index a0. After analyzing the changing trends of the parameters, it is found that T, q, and a0 increase and n0 decreases with the increase of collision energy. Based on the analyses of transverse momentum spectra, an energy independent scaling, that is, the scaling, is obtained.