The combustion characteristics of methane air mixture ignited by laser induced spark are studied in a cylindrical constant volume chamber. The initial pressure in the chamber is varied as 5 bar and 10 bar. The fuel to air equivalence ratio is varied from 0.7 to 1.1. The minimum laser pulse energy required for ignition is measured and threshold intensity is calculated. The effect of equivalence ratio and initial pressure on peak pressure and combustion duration is studied. The increase in initial pressure results in higher peak pressure, and increased combustion duration. The lean mixtures with equivalence ratios up to 0.7 can be completely burnt using laser ignition.