Markarian 421 (Mrk 421) is the closest and one of the brightest high-frequency peaked blazars, located at a redshift of z = 0.031. It is a strong source of gamma rays, and its broadband emission has been extensively studied over the years through multi-wavelength observations. Mrk 421 has been the target of an observational campaign from January to May 2024, with 23 nights of observation conducted by the SST-1M telescopes – two single-mirror, small-size Cherenkov telescopes at the Ondřejov Observatory, Czech Republic. These telescopes operate in mono and stereoscopic modes, utilizing the imaging atmospheric Cherenkov technique to detect very high-energy gamma rays in the 1–300 TeV energy range. Using about 32.92 hours of data collected by the telescopes in stereo mode, we find that the gamma-ray spectrum above 1 TeV is well described by a power-law function with an index of 3.24 ± 0.26. In this work, we present our recent SST-1M stereo observations, data analysis, and the results of preliminary physical modeling of Mrk 421’s emission mechanisms.