UPDATE 1-South Korea says J&J's COVID-19 shots fully taken up

(Recasts with first phase of vaccine reservations closed)

SEOUL, June 1 (Reuters) - South Korea closed its first phase of reservations for Johnson and Johnson COVID-19 vaccines on Tuesday as military personnel signed up for all 800,000 shots on offer, the government said.

South Korea received one million doses of the vaccine this week after the United States almost doubled a pledge made during President Moon Jae-in’s first summit with U.S. President Joe Biden last month.

Authorities designated the vaccine for military-related personnel, including reserve forces and the civil defence corps, as well as people planning overseas business trips or diplomatic missions.

Around 3.7 million people are eligible to receive the single-dose vaccine and a total of 800,000 had signed up in less than 16 hours since reservations began on Tuesday, the Korea Disease Control and Prevention Agency (KDCA) said in a statement.

The KDCA closed the reservations at 800,000 doses, but said others can book their shots when more vaccines are available.

South Korea has inoculated 5.79 million people, or 11% of its population, with a first dose of the two-dose vaccines from AstraZeneca or Pfizer. It aims to vaccinate 14 million by the end of this month.

It said the plan is on track as more vaccine shipments are due to arrive later this month and willingness to get vaccinated appears to be rising, lured by incentives.

A survey in May showed 69.2% of respondents were willing to get vaccinated, up from 61.4% a month earlier, Lee Sang-won, a senior health official, told a briefing.

The government on Tuesday allowed people who have received at least one dose to have family gatherings without restrictions and visit nursing homes.

Those fully vaccinated will no longer be required to wear masks outdoors from July.

The country has reported 459 new confirmed cases on Monday, bringing the total tally to 140,799 infections, with 1,963 deaths. (Reporting by Sangmi Cha; Editing by Miyoung Kim and Raju Gopalakrishnan)