The use of ammonia and the solution of its combustion challenges in a two-carbon context have received attention from domestic and foreign scholars. To address the problem of improving ammonia combustion, this study developed a two-dimensional fluid dynamics-zero-dimensional reaction dynamics-combustion dynamics idea to analyze the cracking and combustion characteristics of ammonia under gliding arc plasma conditions. A two-dimensional fluid calculation model considering electromagnetism was developed using COMSOL calculation software to study the evolution of gliding arc in the reactor; A zero-dimensional gliding arc model applicable to ammonia was developed to study the evolution of temperature and components in the three stages of total-ionization,transition and non-equilibrium in the gliding arc; A combustion model was developed using CHEMKIN calculation software to evaluate the effect of plasma on the combustion characteristics of NH3/air mixture, and in addition the addition of CH4 to the mixture was also investigated. The results show that plasma can promote the cracking of ammonia, reduce the ignition delay time of ammonia, and increase its laminar burning velocity, but the overall combustion effect decreases after replacing NH3 with CH4 in the mixture under partial plasma conditions.