Abstract. Markarian 421 (z ∼ 0.031) emits non-thermal radiation from radio to TeV gamma-ray energies. It falls under the blazar subclass of Active Galactic Nuclei (AGN) which are the most extreme and powerful variable sources of photons of above said energies and are believed to have their jets more aligned toward the Earth as compared to any other class of radio loud AGN. They display high luminosity, irregular amplitude variability in all accessible spectral bands and have a core-dominated radio morphology with radio spectra join smoothly to the infrared (IR), optical and ultra-violet spectra. This object has been extensively studied in TeV domain of gamma-rays using TACTIC gamma-ray telescope at Mt. Abu. It was found to be in High Emission States (HES) during 2006 and 2008 observations. In this paper, we investigate these two HES in terms of possible correlation studies between the source light curves at TeV and X-ray energies. In addition, in the scenario of leptonic single zone Synchrotron Self Compton (SSC) model, HES related source parameters like magnetic field, electron energy spectrum, size of the emission region etc. have also been estimated. Preliminary results pertaining to these studies will be presented.