The South Korean military said yesterday's test was of two short-range Scud missiles with a range of about 500 kilometres (300 miles).
A dispatch by the North's official KCNA news agency was unclear about the type of missile, mentioning, "tactical rockets" and "precision-guided missiles".
A few days earlier, a similar despatch had hailed the test of a new "cutting-edge" guided missile as a "breakthrough" in the North's military capability.
Pyongyang has in the past made extravagant claims about its ballistic missile capability, and experts are divided as to how far the country has gone in developing its missile systems under UN sanctions.
The two latest tests come ahead of Xi's visit to Seoul for talks with South Korean President Park Geun-Hye.
China is North Korea's sole major ally and key economic benefactor, and the fact that Xi is visiting Seoul before Pyongyang has been seen by some as a deliberate snub.
For all its leverage, China has grown increasingly frustrated with North Korea's refusal to curb its nuclear weapons programme as well its penchant for raising regional tension.
"Durable peace can be protected only when one is so strong that nobody dares provoke one and it can be guaranteed by one's own strength," said Kim, who personally oversaw both the latest tests.
Tensions between North and South Korea have been running high for months, with each accusing the other of provocations.
Most recently, the North's army threatened a "devastating strike" after the South held a live-fire drill near the flashpoint maritime border in the Yellow Sea.
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