With the development of homogeneous constrained geometry catalyst (CGC) systems, production of ethylene polymers having long-chain branches has become possible. The unique molecular structure of these polymers delivers increased physical properties (narrow molecular weight and comonomer composition distribution) without sacrificing processability (long-chain branching). The true branching structure in these resins has not been clearly understood yet. Monte Carlo simulation can be used to study the branching structure of these polymers. From our simulation results, it appears that branching distorts the molecular weight distribution and forms a high molecular weight tail. More importantly, Monte Carlo techniques permit one to analyze the branching structure of these polymers. It was found that the polymer chains in the high molecular weight tail are highly branched.