This has been considered as a show of force that coincides with the first days of US President Joe Biden's term of office according to foreign reports.
Sunday's operation involved 15 aircraft and followed a similar drill that led to a warning from Washington.
Taiwan’s defence ministry said China
China sees democratic Taiwan as a breakaway province, but Taiwan sees itself as a sovereign state.
Analysts say China is testing the level of support of Biden for Taiwan.
China has carried out regular flights over the waters between the southern part of Taiwan and the Taiwanese-controlled Pratas Islands in the South China Sea in recent months.
Taiwan's defence ministry said eight Chinese bomber planes capable of carrying nuclear weapons, four fighter jets and one anti-submarine aircraft entered its south-western air defence identification zone on Saturday.
Sunday's operation involved six J-10 fighters, four J-16s, two SU-30s, a Y-8 reconnaissance aircraft, and two Y-8 anti-submarine aircrafts, the ministry said. On both occasions, Taiwan's air force warned away the aircraft and deployed air defence missile systems to monitor the planes.
There has been no official comment from the Chinese government.
Source : foreign reports