The CMS Collaboration presents measurements of jet energy calibration and transverse momentum resolution using data from proton-proton collisions at 7 TeV, with an integrated luminosity of 36 pb⁻¹. The study uses the transverse momentum balance in dijet and γ/Z+jet events to determine jet energy response and resolution. Three jet reconstruction methods are considered: calorimeter-based, Jet-Plus-Track (JPT), and Particle-Flow (PF). The CMS detector, with a superconducting solenoid and various subdetectors, is described in detail. Jet reconstruction uses the anti-kT algorithm with R=0.5. Calorimeter jets are reconstructed from energy deposits, while JPT jets incorporate tracking information, and PF jets use particle-flow candidates from all subdetectors. The study includes various event samples: zero bias, minimum bias, dijet, γ+jet, Z(μμ)+jet, and Z(ee)+jet. The dijet pT-balance method measures the relative jet energy response as a function of η, while the γ/Z+jet pT-balance method measures the absolute jet energy response. The missing transverse energy projection fraction (MPF) method is used to determine the jet energy response. Biases, such as resolution bias and radiation imbalance, are discussed, with resolution bias being the main systematic uncertainty. The jet energy calibration is performed using a multiplicative factor C, composed of offset, MC calibration, and residual corrections. The offset correction accounts for noise and pile-up, while the MC calibration adjusts for non-uniformity and non-linearity. The relative jet energy scale is determined using the dijet pT-balance method, with corrections for radiation and asymmetry. The results show that the jet energy response varies with η and pT, with significant differences in the endcap and forward regions. The final residual correction is typically 2-3%, with exceptions in certain η ranges. The study provides a comprehensive understanding of jet energy calibration and resolution for different jet types, essential for physics analyses.The CMS Collaboration presents measurements of jet energy calibration and transverse momentum resolution using data from proton-proton collisions at 7 TeV, with an integrated luminosity of 36 pb⁻¹. The study uses the transverse momentum balance in dijet and γ/Z+jet events to determine jet energy response and resolution. Three jet reconstruction methods are considered: calorimeter-based, Jet-Plus-Track (JPT), and Particle-Flow (PF). The CMS detector, with a superconducting solenoid and various subdetectors, is described in detail. Jet reconstruction uses the anti-kT algorithm with R=0.5. Calorimeter jets are reconstructed from energy deposits, while JPT jets incorporate tracking information, and PF jets use particle-flow candidates from all subdetectors. The study includes various event samples: zero bias, minimum bias, dijet, γ+jet, Z(μμ)+jet, and Z(ee)+jet. The dijet pT-balance method measures the relative jet energy response as a function of η, while the γ/Z+jet pT-balance method measures the absolute jet energy response. The missing transverse energy projection fraction (MPF) method is used to determine the jet energy response. Biases, such as resolution bias and radiation imbalance, are discussed, with resolution bias being the main systematic uncertainty. The jet energy calibration is performed using a multiplicative factor C, composed of offset, MC calibration, and residual corrections. The offset correction accounts for noise and pile-up, while the MC calibration adjusts for non-uniformity and non-linearity. The relative jet energy scale is determined using the dijet pT-balance method, with corrections for radiation and asymmetry. The results show that the jet energy response varies with η and pT, with significant differences in the endcap and forward regions. The final residual correction is typically 2-3%, with exceptions in certain η ranges. The study provides a comprehensive understanding of jet energy calibration and resolution for different jet types, essential for physics analyses.