Additive manufacturing (AM) has revolutionized the manufacturing industry, enabling the production of complex geometries and customized components. To enhance the mechanical performance of AM parts, continuous fiber reinforcement has gained significant attention. This study investigates the creep behavior of continuous fiber-reinforced AM parts, focusing on understanding the time-dependent deformation characteristics under constant load. The research begins with an overview of composites materials and structures, and AM technologies capable of incorporating continuous fibers into printed structures, such as fused filament fabrication (FFF) with continuous carbon fibers. Mechanical testing is performed on thermoplastic and composite specimens to characterize their tensile and creep response under different loading conditions.