Searches for non-resonant HH production at CMS

The most recent results from searches for non-resonant production of Higgs boson pairs~(HH) at CMS are presented. Four final states have been studied, with data collected at $\sqrt{s}=13\,\mathrm{TeV}$ in 2016, corresponding to an integrated luminosity of $35.9\,\mathrm{fb}^{-1}$. The combination of the four channels can set an observed (expected) upper limit on the HH production cross section to 22.2 (12.8) times the SM prediction. Beyond the SM scenarios for HH production are also explored.