Optical lattice atomic clocks play a crucial role in the field of quantum precision measurement due to their excellent characteristics, such as ultra-high frequency resolution for clock transition detection, extremely high frequency stability and accuracy, optical frequency domain clock transitions, pure atomic initial state preparation, and ultra-long quantum state coherence time. Taking advantage of the sensitivity of the clock transition frequency of optical lattice atomic clocks to physical quantities such as electric field, magnetic field, temperature, and gravitational acceleration, experiments can be designed to quantitatively determine the relationship between the quantities to be measured and the clock transition frequency and transition rate, and then combining with relevant theoretical frameworks to infer the value of the quantities being measured. This paper reviews the typical applications of optical lattice atomic clocks in quantum precision measurements, including time-frequency measurement, the test of general relativity, the measurement of the variation of fundamental physical constants with time, and atomic physics research.