By calcining at $750^{circ}C$ for 30 h in $O_2$ stream after milling, $LiNi_{1-y}M_yO_2(M=Zn^{2+},;Al^{3+}$, and $Ti^{4+}$, y = 0.005, 0.01, 0.025, 0.05, and 0.1) were synthesized and their electrochemical properties were investigated. All the samples had R3m structure. $LiNi_{1-y}Zn_yO_2$ (y = 0.025, 0.05, and 0.1) contained ZnO anuor $Li_2ZnO_2$ as impurities. Among the samples substituted with the same element, the samples with relatively large value of $I_{003}/I_{104}$ and the smallest R-factor had the largest first discharge capacity and good cycling performance. $LiNi_{0.975}A1_{0.025}O_2$ had the largest first discharge capacity (172.5 mAh/g) and good cycling performance (about $89.4\%$ of the first discharge capacity at the 20th cycle). This sample had the largest value of $I_{003}/I_{104}$ and the smallest R-factor among all the samples. In addition, the particles of this sample were finer and their size was more homogeneous than the other samples. $LiNi_{0.95}A1_{0.05}O_2$ had relatively large first discharge capacity 150.4 mAh/g and good cycling performance.