We report a frequency measurement of the clock transition of a single 40 Ca + ion trapped and laser cooled in a miniature ring Paul trap with 10 -15 level uncertainty. In the measurement, we used an optical frequency comb referenced to a Hydrogen maser, which was calibrated to the SI second through the Global Positioning System (GPS). Optical frequency standards have been developed rapidly in recent years thanks to the development of the cold atoms, the optical frequency comb technology [1,2] and the ultra-narrow-linewidth lasers. Optical frequency standards are expected to replace the Cs primary microwave standard as in the definition of the SI second in the near future. The measurement of the absolute optical frequency for the clock transition is an important step in the development of the optical frequency standards based on single ions and ultracold neutral atoms. The clock transition frequency had been measured using the optical frequency comb referenced to the Cs fountain and using GPS as a link to the SI second without a primary standard for direct calibration. The clock transition frequency had been measured referenced to the Cs fountain at uncertainties on the order of 10 level, which was referenced to the Cs atomic fountain clock [13].In this paper, we report on the first measurements of the 40 Ca + 4s 2 S 1/2 -3d 2 D 5/2 transition frequency with an uncertainty level of 10 -15 using an optical frequency comb referenced to a Hydrogen maser, which was calibrated through the Global Positioning System (GPS) as a link to the SI second. To approach a measurement of 10 -15 level accuracy, we performed the measurement for a very long time (7×10 5 s in May and 1.5×10 6 s in June) to reduce the statistical error and the frequency transfer error. At the same time, the systematic error had been reduced to be smaller than the previous work [14] by achieving the lower ion temperature and increasing the measurement precision on the electric quadrupole shift. Figure 1 is a schematic diagram of our experimental setup. Full details of the laser cooling, trapping detecting and probing system including the locking scheme of probe laser to the ion transitions used in this work were reported in previous works [14][15][16][17]. Briefly, a single 40 Ca + ion was trapped and cooled in a miniature Paul ring trap. The trap had an endcap-to-center distance of z 0 0.6mm with a center-to-