The un-cooperation and motion uncertainty of space unstablility targets make it difficult to obtain directly their real 3D shapes using the linear measurement. The distoration rectification method of linear imaging for space unstablility targets was presented through the temporal and spatial relations of the same corner point on the continuous linear array images. Firstly, a general linear imaging model of space unstability targets was set up based on the imaging mechanism of the linear imaging radar and motion law of space unstability targets. Then, the motion parameters of spin and nutation of space unstability targets was obtained by use of the progressive estimation mechanism according to the local similarity and global continuity of motion. Finally, the distorted linear array image column was rectified by column and then the real 3D shape of space targets was obtained according to these motion parameters based on the above linear imaging model. Experimental results illustrate the effectiveness of the proposed method for different kinds of motion states under the uncooperative and single-load condition and the conditional stability of our proposed method about the selection of frame numbers, which ensures that the spin axes would resolve around the nutation axis turning one circle. It provides guidance and reference for the applications of our method on the other linear measurement need.