The results of a search for Higgs boson pair ($HH$) production in the final state $bbWW^*$ have been presented. The analysis is based on data recorded at a center of mass energy of 13 TeV by the CMS detector during LHC Run 2. Both non-resonant and resonant productions have been studied. The results are compatible with the standard model expectations. Exclusion limits on the $HH$ production cross section in both non-resonant and resonant production modes as well as limits in different Effective Field Theory scenarios have been presented.