Studies of Higgs boson production are presented using the \(\mathrm{H}\rightarrow\mathrm{Z}\mathrm{Z}\rightarrow4\ell\) (\(\ell=\mathrm{e},\mu\)) decay channel. These studies are performed using a data sample corresponding to an integrated luminosity of \(2.8~\mathrm{fb}^{-1}\) of pp collisions at a center-of-mass energy of \(13~\mathrm{TeV}\) collected by the CMS experiment at the LHC during 2015. The observed significance for the standard model Higgs boson with \(m_{\mathrm{H}}=125.09~\mathrm{GeV}\) is \(2.5\sigma\), where the expected significance is \(3.4\sigma\). The model independent fiducial cross section is measured to be \(\sigma_{\mathrm{fid.}}=2.48^{+1.48}_{-1.14}(\mathrm{stat. \oplus sys.})^{+0.01}_{-0.04}(\mathrm{model~dep.})~\mathrm{fb}\). In addition, a search for an additional Higgs boson is performed for a range of masses up to 1 TeV and with various widths, and no significant excess is observed. The results of this search are interpreted in the context of the two Higgs doublet model.