In the ternary system of $CaF_2-CaO-P_2O_5$. Apatite$(Ca_{10}(PO_4)_6F_2)$ single crystal having a congruent point was grown by FZ process. The atmospheric condition was kept by oxygen blowing. Adjusting the growth parameters of rotation rate, growth rate and gas amount, we tried to find the optimum growth condition. By partly substituting Ca as Co element, the absorption of infrared is increased and the color effect was observed. Using the Laue back reflection, XRD and FTIR analysis, the characterization of the crystal was carried out.