The power is believed to play an important role in the treatment effects in both direct and indirect plasma applications. Generation of the high power has been realized by using a perforated inner electrode for a coaxial dielectric barrier discharge (DBD) in atmospheric pressure air. Compared with a non-perforated inner electrode, the perforated electrode has a 10%–20% and 10%–30% increase in the applied power and the discharge power, respectively. The strengthened local electric field of the perforated electrode in the coaxial DBD provides favorable conditions for the generation of the micro-discharge, thus increasing the power. To shed light on the reasons for the increase in the power, an extensive analysis of the optical and electrical characteristics of the DBD with the perforated electrode and the non-perforated one was carried out, including transferred charge, total current, number of discharge pulses, dielectric capacitance, gap capacitance, vibrational and rotational temperatures, and electron temperature trend.