Slip-driven microfluidic devices can manipulate fluid by the relative movement of microfluidic plates that are in close contact. Since the demonstration of the first SlipChip device, many slip-driven microfluidic devices with different form factors have been developed, including SlipPAD, SlipDisc, sliding stripe, and volumetric bar chart chip. Slip-driven microfluidic devices can be fabricated from glass, quartz, polydimethylsiloxane, paper, and plastic with various fabrication methods: etching, casting, wax printing, laser cutting, micromilling, injection molding, etc. The slipping operation of the devices can be performed manually, by a micrometer with a base station, or autonomously, by a clockwork mechanism. A variety of readout methods other than fluorescence microscopy have been demonstrated, including both fluorescence detection and colorimetric detection by mobile phones, direct visual detection, and real-time fluorescence imaging. This review will focus on slip-driven microfluidic devices for nucleic acid analysis, including multiplex nucleic acid detection, digital nucleic acid quantification, real-time nucleic acid amplification, and sample-in-answer-out nucleic acid analysis. Slip-driven microfluidic devices present promising approaches for both life science research and clinical molecular diagnostics.