Earlier in the day, South Korean media reported with a reference to Joint Chiefs of Staff (JCS), that North Korea had fired multiple unidentified projectiles off its east coast.
"We have no confirmations that [the launches] had an impact on the security of our state. We continue to closely cooperate, including with the United States", Abe was quoted by the Kyodo news agency.
Meanwhile, Chief Cabinet Secretary Yoshihide Suga said on Wednesday, cited by Reuters, that Japan would continue to seek a summit with North Korea, without conditions, despite the latest missile launch by Pyongyang.
The Japanese Defence Ministry said earlier that no North Korean missiles were detected within Japan's territorial waters and exclusive economic zone.
The incident occurred less than a week after Pyongyang fired two projectiles from the eastern coastal city of Wonsan. The JCS subsequently said that the launches were of two short-range missiles that flew some 267 miles at an altitude of 31 miles before falling into the Sea of Japan.
South Korea reportedly convened an emergency National Security Office meeting chaired by chief Chung Eui-yong following the new launch of projectiles by North Korea.
North Korea's missile launches come less than a month after its leader, Kim Jong Un, and US President Donald Trump met in the Korean demilitarized zone and agreed to restart denuclearization talks.