This report discusses recent measurements of the couplings of the Higgs boson, as well as its inclusive and fiducial production cross sections, by the CMS experiment with data collected at the centre-of-mass energies of $13~\mathrm{TeV}$ and $13.6~\mathrm{TeV}$.
The proceeding presents searches for $W^{\pm}H(b\overline{b})$ and $W^{\pm}W^{\pm}H(b\overline{b})$ production through vector-boson scattering and the measurement of $t\overline{t}H(b\overline{b})$ as well as the search for $tH(b\overline{b})$ production using $138~\mathrm{fb}^{-1}$ of data collected at $\sqrt{s} = 13~\mathrm{TeV}$.
Additionally, the measurements of Higgs boson production in the four-lepton and diphoton final states with data taken in 2022 at $\sqrt{s} = 13.6~\mathrm{TeV}$, corresponding to $34.7~\mathrm{fb}^{-1}$, are discussed.
The results agree with the standard model predictions.