The invention discloses a compression-sensing-based signal reconstruction and de-noising method of a ground penetrating radar. The method comprises the following steps: establishing a complete dictionary for input signal sparse expression; constructing a sampling matrix based on a correspondence relation between missing ground penetrating radar data and complete data; according to a measurement matrix, the complete dictionary, and measurement data, reconstructing a sparse coefficient by using an orthogonal matching tracking algorithm; and carrying out inverse transformation by using the reconstructed sparse coefficient to construct a complete signal. The provided method is a novel ground penetrating radar data processing method. With the method, the missing ground penetrating radar data can be recovered correctly and noises in the ground penetrating radar can be eliminated effectively. Therefore, the provided method is a multi-purpose processing method.