Abstract: A analytical synthesis method of four-bar linkage in the special configtiration, in which the coupler curve has a five-point contact with its tangent (Burmesters point), is presented. With this method, the point which is on the expecting straight-line, the direction of the line and one frame point, can be given beforehand. Some synthesizing formulae are derived and three synthesizing examples are given. The results have proved that the formulae are correct.