In this study, an experimental approach to finding the linear Viscoelastic properties of fiber wound composite tubes is presented. HYDRIL provided tubes of two different materials, which may be used in offshore applications; they are carbon and glass fiber reinforced epoxy in two types of lay-up (+ 45o and +55o). A set of displacement ramp-to-failure tests were conducted on specimens cut from tubes to find the stress-strain curves and ultimate strengths of the four lay-ups at room temperature. Methods of creep testing the entire tubes and rectangular coupon specimens cut from tubes for obtaining creep compliances of the materials are described. Master compliance curves for the +55o carbon/epoxy and glass/epoxy are presented. The temperature shift factor has been found by testing the carbon/epoxy and glass/epoxy coupons at the temperatures 75oF, 103oF, 147oF and 199oF. It is shown that the materials are thermorheologically simple, except for the need to include a temperature dependent vertical shift factor.