The Higgs decay to a pair of b quarks is the strongest expected decay mode for a wide range of model scenarios and parameters. However, the huge background from QCD multi-jet production makes the analysis of this channel very challenging. Our group has proposed and implemented dedicated triggers for CMS which allowed recording of a large number of candidates in the 7 TeV, 8 TeV and 13 TeV data-taking periods. We have established the first measurement of this kind at the LHC, and achieved high sensitivity for parameter of the minimal supersymmetric extension of the Standard Model (MSSM), as well as various two-Higgs doublet models (2HDM). A PhD thesis focusing on the 2017 data analysis using a semi-leptonic trigger signature was recently completed ( https://doi.org/10.3204/PUBDB-2020-02277 ). We are now in the process of analyzing the full Run 2 dataset, and prepare the analysis for Run 3.