The use of composite materials has increased significantly in the oil and gas industry, due to properties such as high specific strength and stiffness, high fatigue strength, and good impact resistance, etc. Composite reinforcement fibres are usually combined with polymer matrix materials and formed into rigid or flexible lightweight flow lines, risers, transport pipes, etc. Flexible composite pipes are easier and less costly to install due to their spoolability, hence their increased implementation for offshore oil and gas production applications. The use of thermoplastic composite pipes in offshore oil and gas industry presents load regimes emanating from functional, environmental, and accidental occurrences, which could result in material level (matrix cracking) or structural level (buckling) failures. Thus, composite pipe design and selection must include requirements to withstand installation, operational and off-design conditions. For instance, during operation, the sag bend region of a riser must sustain deep-water ambient external pressure, high internal pressure, elevated temperatures, and thermal gradient from inflowing hydrocarbons, bending stress at the curvature, axial loads as well as loads from off design events such as accidental impact, earthquakes, etc. The overall aim of the current research is the buckling and stress analysis of composite pipes under axial, bending and pressure loads for offshore deep-water operation scenarios taking into account changes of material properties due to the temperature gradients. The finite element model (ABAQUS) is developed and validated through the comparison with the published analytical and numerical results. The detailed parametric failure analysis (including effects of fibre orientation, stacking sequence, magnitude of loading and layer thickness on the structural performance of the pipe) is given, and it is followed by the buckling analysis.