Recent results on Higgs boson self-coupling, $\lambda_{HHH}$, performed in Higgs boson pair, $HH$, production in different final states are 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. Results on the non-resonant $HH$ production cross section in different Effective Field Theory scenarios are addressed as well. A projection study for $\lambda_{HHH}$ at the High-Luminosity LHC is also presented.