The glass fiber reinforced polypropylene (GF/PP) composite plate with different glass fiber contents was fabricated by the laminated hot-pressing experiment method using the glass fiber felt and polypropylene film, then tensile experiments were carried on under different loading rates. The strain rate sensitive properties of the composites were investigated, and the feasibility of the Burgers model fitting to predict the constitutive relation of the material was analyzed. The results show that the GF/PP composite in the low strain rates is sensitive to strain rate, with the increase of strain rate, the fracture stress and tensile strength increase, and with the increase of the glass fiber content, the strain rate effect decreases. Meanwhile, the Burgers model can effectively fit to predict the tensile stress-strain curves of the composites, then compared with the experimental curves, which further validates the strain rate sensitive properties of the GF/PP composites and its trend.