Side channel attacks (SCAs) on security devices have become a major concern for system security. Existing SCA countermeasures are costly in terms of area and power consumption. This paper presents a novel differential power analysis (DPA) countermeasure referred to as short-time three-phase single-rail precharge logic (STSPL). The proposed logic is based on a single-rail three-phase operation scheme providing effective DPA-resistance with low cost. In the scheme, a controller is inserted to discharge logic gates by reusing evaluation paths to achieve more balanced power consumption. This reduces the latency between different phases, increasing the difficult of the adversary to conduct DPA, compared with the state-of-the-art DPA-resistance logics. To verify the chip's power consumption in practice, a 4-bit ripple carry adder and a 4-bit inverter of AES-SBOX were implemented. The testing and simulation results of DPA attacks prove the security and efficiency of the proposed logic.