Abstract：The occurrence of the nonzero leftmost digit, i.e., 1, 2, …, 9, of numbers from many real world sources is not uniformly distributed as one might naively expect, but instead, the nature favors smaller ones according to a logarithmic distribution, named Benford's law. This paper discusses systematically the first digit distributions of physical quantities in the fields of particle physics and astrophysics, and it is found that the full widths of hadrons and various quantities of pulsars conform to Benford's law very well. The first and second digit distributions of derivatives of period and frequency of pulsars are also found to obey the n-digit Benford's law. It is further pointed out that the pulsar data can serve as an ideal assemblage to study the first digit distributions of the real world data. Furthermore, three kinds of widely used physical statistics, i.e., the Boltzmann-Gibbs distribution, the Fermi-Dirac distribution, and the Bose-Einstein distribution, are found to conform to this law in an analytical manner. Thus, a new physical prospective is used to look into the underlying reason of this law. Moreover, various elegant mathematical properties of Benford's law are discussed in detail.