Yes, this is the Mitsubishi A6M fighter plane. The A6M was a fighter for the Imperial Japanese Navy Air Service, IJNAS. It is often confused with the Nakajima Ki-43, or even called other Allied code words, Zeke, Hap, and Hamp.

The name Zero is actually taken from the Japanese name fro the aircraft, Type 0 Carrier Fighter, Rei shiki Kanjō sentōki, Type 0 because it entered service in 1940, 2600 on the Imperial calendar. The fighter was typically called Zero-sen in Japan, so this is one time the allies seem to have taken something from Japan.

The zero was actually a better plane than anything the US had until 1943. It was light, maneuverable, and had decent fire power. However it did not have armor to protect the pilot nor self sealing fuel tanks. It also had a problem in a diving turn to the right.

US pilots learned how to beat the zero with tactics and skill. The zero in the hands of a skilled pilot was still a deadly aircraft. When the allies introduced better fighters the strengths of the zero began to decline. At the end of the war the plane was used for almost all of the Kamikaze attacks on the US fleet. Over 11,000 of the plane was produced in all of its various versions.

Picture from Wikipedia.