Abstract: The problem of blind image restoration without sufficient information requires effective regularization to stable the solution supposed the point spread function is known while its parameters are unknown.Based on the frame of the parameters and regularized blind super-resolution restoration proposed by Nguyen，this paper introduces a regularization item with Roberts cross gradient operator and determines the regularization parameter adaptively.Besides，the conjugate gradient method is employed to search the minimum point.Experimental result confirms that the restored images posses low relative error and high quality.