The structural, mechanical and electronic properties of Ni-Co-based layered transition oxide LiNixCo1-xO2 (x = 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8 and 0.9) (LNCO) have been investigated using the first-principles method. The results show that the effect of Ni/Co mixing on the structural property is slight. For the case of the mechanical property, the elastic constant, elastic modulus, such as Young's modulus ( Y), Poisson's ratio ( v), Pugh's ratio ( B/G) and Cauchy pressure ( C') of LNCO have been carefully analyzed based on the strain-energy method. The results demonstrate that the mechanical strength of LNCO materials is weaker than that of the pure LiCoO2 (LCO) and LiNiO2 (LNO). However, the B/G ratio and Poisson's ratio of LNCO are greater than that of the pure LiCoO2 (LCO) and LiNiO2 (LNO), which means that Ni/Co mixing can improve the ductility of pure LiCoO2 (LCO) and LiNiO2 (LNO). In addition, Cauchy pressure and the anisotropy are also discussed. And as the cathode materials, LNCO still exhibits good electrical conductivity. Our results provide a feasible way to realize mechanical property modulation by Ni-Co-based layered transition metal oxides LiCoO2. Furthermore, our study is also helpful to reveal the formation mechanism of intra-lattice microcrack in electrode materials.