To resolve linear interpolation questions in three dimension,a new interpolation methods using bar elastic distortion theory was presented. According to the definition of interpolation,the equations of the bar elastic distortion can be used as a interpolation methods to make the flexibility and elastic coefficient have the means of mathematics and modify the qualifications.The interpolation equations can be fixed by the parameters g(gyi,gzi).This methods has specific means in physics and the arithmetic of it is simple.The curves produced by the methods have compact forms.It optimizes the B-spline methods and can be used in many fileds such as CAD and converse project.