This paper is to find,on the plane,the fundamental elements of which are or-iented circles,the common circles of a non-parabolic and two parabolic kernel-led fields of circlesδ（Z-Z_{0}）=k≠0, （1.1）δ（Z-Z_{1}）=0, （1.2）δ（Z-Z_{2}）=0, （1.3）under the conditions that the two kernel circles Z_{1},Z_{2} are belonging to the field（1.1）,and the three circles Z_{0},Z_{1},Z_{2} are not belonging to a same linear range ofcircles.The author gives the necessary and sufficient condition for the problemto be solvable;the problem is simplified by using Laguerre inversion,and thenthe solutions for every case are obtained.Finally an example for one case is of-feted.