The detection of gravitational waves from binary black hole coalescences by the LIGO-Virgo-KAGRA Collaboration has raised fundamental questions about the genesis of these events. In this chapter, we explore the possibility that primordial black holes, proposed candidates for dark matter, may serve as the progenitors of the binary black holes observed by LIGO-Virgo-KAGRA. Employing a Bayesian analysis, we constrain the primordial black hole model using the LIGO-Virgo-KAGRA third gravitational wave transient catalog, revealing that stellar-mass primordial black holes cannot dominate cold dark matter. Considering a mixed population of astrophysical black holes and primordial black holes, we determine that approximately 1/4 of the detectable events in the third gravitational wave transient catalog can be attributed to primordial black hole binaries. We also forecast detectable event rate distributions for primordial black hole and astrophysical black hole binaries by the third-generation ground-based gravitational wave detectors, such as the Einstein Telescope, offering a potential avenue to distinguish primordial black holes from astrophysical black holes based on their distinct redshift evolutions.