The white-eye pattern was firstly observed and investigated in a dielectric barrier discharge system in the mixture of argon and air whose content can be varied whenever necessary, and the study shows that the white-eye cell is an interleaving of three different hexagonal sub-structures: the center spot, the halo, and the ambient spots. The white-eye pattern is observed at a lower applied voltage. In this experiment, the heat capacity of water is high so that the water in water electrode is good at absorbing heat. In the process of pattern discharging the gas gap didn’t increase its temperature, and the discharging phenomenon of this pattern has not changed. The temperature of the water electrodes almost keeps unchanged during the whole experiment, which is advantageous for the long term stable measurement. Pictures recorded by ordinary camera with long exposure time in the same argon content condition show that the center spot, the halo, and the ambient spots og the white-eye pattern have different brightness, which may prove that their plasma states are different. And, it is worth noting that there are obvious differences of brightness not only on the center spot, the halo, and the ambient spots at the same pressure but also at the different pressure, which shows that its plasma state also changed with the variation of the pressure. Given this, in this experiment plasma temperatures of the central spot, halo, and ambient spots in a white-eye pattern at different gas pressure were studied by using optical emission spectra. The molecular vibration temperature is investigated by the emission spectra of nitrogen band of second positive system (C3Πu→B3Πg). The electron excitation temperature is researched by the relative intensity ratio method of spectral lines of ArⅠ763.51 nm (2P6→1S5) and ArⅠ772.42 nm (2P2→1S3). The electronic density is investigated by the broadening of spectral line 696.5 nm. Through the analysis of experimental results, it is found that the molecular vibration temperature, electron excitation temperature and electronic density of the central spot are lowest, and the plasma parameters of the ambient spots are second, while the plasma parameters of the halo are highest at the same condition. The molecular vibration temperature and the electron excitation temperature of the three different parts of the pattern (central spot, halo, and ambient spots) decrease with the pressure increasing from 40 to 60 kPa, but the electronic density increases. These results are of great important to the formation mechanism of the patterns in dielectric barrier discharge.