In bistatic inverse synthetic aperture radar (ISAR) imaging, resolution of one-dimensional range profile decreases because of the bistatic angle. To solve this problem, algorithm for bistatic one-dimensional range profile imaging is researched. Based on the analysis of sparse characteristic of baseband echo, the problem of range profile imaging is converted to the signal sparse decomposition in noisy environment. With the alterable time-delay cell, regularization parameter is chosen by L-curve method. Then the sparse decomposition coefficients are estimated via generalized regularized focal undetermined system solver (FOCUSS) algorithm. Based on the coefficients, one-dimensional range profile is created. Resolution of range profile created through this algorithm could not be effected by bistatic angle and is totally decided by the time-delay cell. Simulation experiments validate the algorithm.