Cyclic CO₂ injection, followed by soaking and production—commonly referred to as "Huff-n-Puff" (HnP)—can be used to enhance oil recovery, while mitigating greenhouse gas emissions, from unconventional reservoirs. The cyclic loading and unloading stresses associated with HnP induces cyclic creep deformation in the reservoir. This study aims to investigate the impact of cyclic creep deformation on CO₂ storage and enhanced oil recovery (EOR) under varying geomechanical conditions. Intact and fractured core plugs from the Canadian Montney Formation were subjected to single-phase gas flow (gas permeability) measurements under multiple cycles of loading and unloading stresses, with rock and flow properties (e.g., permeability, porosity) determined for each cycle. The experimental data informed hydromechanical models incorporating various deformation scenarios (rigid, elastic, weakly elastic, and cyclic creep) and coupled with multiphase, multicomponent flow and transport models. Results reveal that cyclic creep deformation diminishes CO₂-EOR potential by reducing permeability and porosity with each successive cycle, with fractures exhibiting greater reductions compared to the matrix. Accumulated creep deformation results in slower pressure buildup during CO₂ injection and a slower depletion rate during oil production. Consequently, CO₂ storage is reduced by 18% and 30%, and oil recovery decreases by 5% and 20% in the matrix (pore) and fracture domains, respectively, relative to models without creep deformation. Additionally, free and dissolved CO₂ storage volumes increase with each cycle, with fractures enabling significantly higher dissolved CO₂ storage (21%) compared to matrix-only storage (6%). A progressive reduction in diffusive CO₂ flow across cycles further highlights a transition from diffusion-dominated to convection-dominated flow due to increased effective stress. This study is the first to incorporate cyclic creep deformation into HnP models, demonstrating its critical role in influencing CO₂ storage capacity and EOR performance. Ignoring cyclic creep deformation effects can lead to overestimation of CO₂ storage capacity and oil recovery, emphasising the importance of accounting for these effects in the design of optimal HnP schemes for oil recovery and sustainable carbon management strategies.