To improve the circuit security of lightweight cipher algorithm (LWCA) and reduce power consumption, we proposed a look-up table (LUT) circuit with magnetic tunnel junction (MTJ)/CMOS hybrid structure, which can realize the complete PRESENT-80 encryption algorithm circuit by combining with sense amplifier based logic (SABL) cells. MTJ cells were introduced into the protection circuits for the design of the LUT circuit with hybrid MTJ/CMOS structure. Firstly, on the basis of 40 nm CMOS process and MTJ simulation model, the proposed LUT architecture was applied to design the S-box circuits which are essential in the operation process of cryptographic algorithm circuits, and results were verified through simulation. Secondly, a complete PRESENT-80 algorithm circuit was designed with the combination of the proposed circuit and SABL cells. Finally, all the circuits were tested by correlation power attack (CPA). Identical simulation and power consumption analysis were conducted on conventional CMOS single-rail and SABL dual-rail circuit structures. Results show that the proposed circuit possessed excellent power consumption attack resistance ability, which was capable of protecting against the CPA attack from 10 000 samples. Besides, the average power consumption of the proposed circuit was apparently reduced compared with that of the traditional SABL circuit.