The camera extrinsic parameters interpolation is one of the key technologies in the application of 3D scene roaming etc. Since the space constructed by camera extrinsic parameters is not linear, the traditional methods usually decompose the parameters into translation and rotation transformation, resulting in unnaturalness for interpolation. This paper presents a camera extrinsic parameters interpolation algorithm based on Lie Algebra. Firstl, the study transforms the camera extrinsic parameters matrix into a Lie Algebra space; then a linear interpolation in that space is finished; finally, the inverse transformation of the interpolation matrix into the space of camera extrinsic parameters obtains a series of sequence of interpolation result. Experiments show that, compared with the traditional interpolation directly in the space of camera extrinsic parameters and the interpolation based on quaternion, the interpolation sequences obtained by this algorithm is smoother and more in line with the people's observation habits.