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With the decrease in dimension of ion traps employed in optical frequency standards and precision spectroscopy,the sensitivity of trapping behavior to trap geometry is more and more prominent.We present a guide for the design and construction of a miniature trap for a single ion confinement,and propose an optimized combination of rring/rendcap ≈0.5 and z0 ≈ r0 within the range of r0 =0.7 ± 0.2 mm.Compared with the trap used by Huang et al./Phys.Rey.A 84 (2011)053841],the design can lead to an increase in trap pseudo-potential of more than 20％ and a reduction on potential anharmonicity of more than 90％.The improvements make the trap closer to an ideal hyperboloidal trap to confine a single ion tightly with the benefit of weaker micro-motion.Considering the imperfection of electrodes machining and traps alignment,we also demonstrate the importance of trap symmetry,especially on two endcap electrodes.