This paper provides an overview of the CMS Collaboration's studies on the discovery potential for supersymmetry (SUSY) at the Large Hadron Collider (LHC). The work covers various aspects, including squarks and gluinos, sleptons, charginos and neutralinos, SUSY dark matter, the lightest Higgs boson, sparticle mass determination methods, and detector design optimization. The study is based on the minimal supergravity-inspired supersymmetric standard model (mSUGRA) with a stable lightest supersymmetric particle (LSP). The paper discusses the experimental signatures expected for SUSY searches, such as excesses in missing transverse energy plus jets or isolated leptons, and trilepton events. It also explores the possibility of detecting charginos and neutralinos through dilepton or trilepton final states, and the indirect evidence for sleptons from inclusive dilepton studies. The paper highlights the importance of detector optimization, particularly in isolating leptons and vetoing jets, to enhance the sensitivity to SUSY signals. The results indicate that the CMS detector has the potential to explore a wide range of SUSY parameter spaces, making it a crucial tool for studying SUSY physics at the LHC.This paper provides an overview of the CMS Collaboration's studies on the discovery potential for supersymmetry (SUSY) at the Large Hadron Collider (LHC). The work covers various aspects, including squarks and gluinos, sleptons, charginos and neutralinos, SUSY dark matter, the lightest Higgs boson, sparticle mass determination methods, and detector design optimization. The study is based on the minimal supergravity-inspired supersymmetric standard model (mSUGRA) with a stable lightest supersymmetric particle (LSP). The paper discusses the experimental signatures expected for SUSY searches, such as excesses in missing transverse energy plus jets or isolated leptons, and trilepton events. It also explores the possibility of detecting charginos and neutralinos through dilepton or trilepton final states, and the indirect evidence for sleptons from inclusive dilepton studies. The paper highlights the importance of detector optimization, particularly in isolating leptons and vetoing jets, to enhance the sensitivity to SUSY signals. The results indicate that the CMS detector has the potential to explore a wide range of SUSY parameter spaces, making it a crucial tool for studying SUSY physics at the LHC.