The missile corvette and supply ship showed "the government's determination to enhance our sea power" and improve shipbuilding capacity, President Ma Ying-jeou was quoted as saying by state-run Central News Agency.
The 500-ton twin-hulled corvette Tuo Jiang cost 2.1 billion Taiwanese dollars ($66.39 million USD) to build, the report said.
She is armed with the locally developed Hsiung Feng II and Hsiung Feng III anti-ship missiles, a 76-mm gun and Mark 46 torpedoes, the navy said, dpa reported.
The ship has a range of 2,000 nautical miles and can carry a crew of up to 41.
The supply ship Pan Shi cost four billion Taiwan dollars (130 million US dollars) to build. It can take a crew of up to 165 and has a range of 8,000 nautical miles. The supply ship can reach 22 knots and has a displacement of 20,000 tons.
The Taiwanese Navy has pledged to expand its combat capabilities.
