Polylactic acid (PLA) was reactively extruded with different branching agents such as 2,5-dimethyl-2,5-di-(t-butyl peroxide), 3,6,9-Triethyl-3,6,9,-trimethyl-1,4,7-triperoxonane and Styrene – Glycidal Methacrylate with and without coagent in a microcompounder. Based on the mixing temperature and the relative contents of branching agents, branching, crosslinking, and chain scission can occur separately or simultaneously. Gel content was determined using Soxhlet extraction. Molecular weight wasmeasured by gel permeation chromatography. The rheology of linear and branched poly (lactic acid) was investigated in shear and uniaxial extensional modes. These rheological features are beneficial for melt processing operations such as thermoforming and film blowing, which are used for packaging applications.