Primordial black holes may have left an imprint in the form of a stochastic gravitational wave background throughout their evolution in the history of the Universe. This chapter highlights two types of stochastic gravitational wave background: those generated by scalar curvature perturbations associated with primordial black hole formation in the early Universe and those composed of ensembles of gravitational waves emitted by primordial black hole binaries. After describing detection methods and a brief introduction on Bayesian inference, we discuss current constraints imposed by LIGO-Virgo-KAGRA observations through the non-detection of the stochastic gravitational wave backgrounds and discuss their physical implications.