The invention discloses 24CrNiMoRe alloy steel powder of laser additives and a production method thereof. The alloy steel powder is composed of, by weight, 0.23-0.27% of C, 0.90-1.15% of Cr, 0.90-1.15% of Ni, 0.45-0.60% of Mo, 0.90-1.15% of Mn, 0.30-0.45% of Si, 1-2% of Re(Y) and the balance Fe. The alloy steel powder is spherical, the particle size is 1-180 micrometers, the apparent density is 4.74-4.97 g / cm<3>, and the hollow sphere rate is smaller than 2%. The mobility of the 24CrNiMoRe alloy steel powder with the particle size being 1-50 micrometers is 15.6-18.7s / 50g, and the mobility of the 24CrNiMoRe alloy steel powder with the particle size being 50-180 micrometers is 14.3-15.1s / 50g. According to the production method, the spherical powder with the mobility being good, the particle size being controllable, the hollow sphere rate being low and the structure toughness being high can be produced through vacuum crucible induction smelting and gas atomizing methods and by adjusting the technological parameters of gas atomizing and can be applied to laser additive manufacturing of friction parts of brake discs of high-speed rails.