Although significant progress has been made on understanding the structureproperty relationship of MAX phases, a clear answer has not been given to the outstanding question whether MAX phases can be extended from carbides and nitrides (X = C and N) to borides (X = B). Herein, based on the systematically investigations on the general trend of lattice constants and elastic properties of the experimentally found MX and M 2 AX (X = B, C, and N) with the valence electron concentration (VEC), a guideline for the discovery of new MAX borides is given. The MX and M 2 AX (X = B, C, and N) compounds are situated in a small range of VEC, and their lattice constants generally decrease with VEC. Secondorder elastic constants c 11 , c 33 , and bulk modulus B of M 2 AX (X = B, C, and N) increase with VEC due to enhanced bonding, c 44 and G, however, increase up to some critical values and then decline with the further increase of VEC. Based on the electronic structure-elastic property relationship and the presence of rock salt-structured transition metal monoborides, nine possible MAX phase borides M 2 AB (M = Zr, Hf, Nb, A = P, As, and Sb) are predicted. Thus, MAX phases can be extended from X = C and N to X = B, C, and N.