One of them was a radar-equipped unit to complete a system of surveillance satellites that will allow Tokyo to monitor any place in the world at least once a day.
The other was a demonstration satellite to collect data for research and development.
The H-IIA rocket blasted off from the southern island of Tanegashima around 1:40 pm (0440 GMT) and released the satellites as planned, according to the Japan Aerospace Exploration Agency (JAXA).
"The rocket flew as planned and released both satellites," JAXA said in a statement, confirming its success.
From an altitude of several hundred kilometres, the radar satellite will be able to detect objects on the ground as small as a square metre, including at night and through cloud cover.
Prime Minister Shinzo Abe, who has taken a hardline stance on North Korea, hailed the successful launch.