Synthesis of mechanisms for generation of space curve is a challenging task for designers of the mechanical systems. Least squares method (LSM) has been extensively used for optimization of both planar and spatial mechanisms. Modified least squares method is applied for optimum synthesis of a slotted link mechanism with flexibly attached slider for space curve generation to show the scope of the modified method for optimum design. An example problem is included to illustrate the application of the method. Results are compared with conventional LSM.