In this paper we propose a novel approach for vehicle speed estimation based on the motion blur occurring in the image taken by still camera. when the camera shutter remains open for an extended period of time, because of existence relative motion between camera and object, Motion blur is occurred. Blurred image has two different parameters. One of them is direction of motion and the other is length of motion. For extracting blurred image parameter, first, the Fourier transform is taken from image and then Radon transform is used for extracting direction of motion. For extracting length of motion, we used our purposed method. There is a relation between motion parameters and vehicle speed. Finally Speed estimation is performed by imaging geometry, extracted blur parameters and the camera parameters. Proposed method improved accuracy of measurement motion blur parameters and then accuracy of speed estimation than the others purposed methods.