Australian cities began easing lockdown restrictions as the country recorded a drop in community transmission of COVID-19, with only one new case reported in the last 24 hours.
"We are winning but we have not won yet," Health Minister Greg Hunt stressed.
Australia, which imposed an early shutdown of borders and businesses, has managed to reduce the number of cases and deaths.
Coronavirus testing centres have been set up across the country, with the government urging people to undergo tests regardless of whether they have symptoms.
A month after being closed for violations on social distancing rules, Bondi Beach and two neighbouring beaches in Sydney were reopened to local residents on Tuesday.
Meanwhile, New South Wales (NSW) state announced easing of stay-at-home rules.
"Two adults will be able to go and visit anybody else in their home on the basis of care, on the basis of reducing socialisation and everybody's mental health," said NSW Premier Gladys Berejiklian, with children allowed to accompany adults on house visits.
US President Donald Trump and the leaders of Greenland and Denmark signed an agreement on Tuesday that permits a larger US military presence on Greenland and may resolve a standoff over the strategically located and mineral-rich island.
An F-16 fighter jet assigned to the US air base Spangdahlem in western Germany crashed on Tuesday, the US military said, adding that one pilot had ejected safely and was receiving medical treatment.
US President Donald Trump on Tuesday called for complete economic isolation of Iran, showing no intention to resume talks at the UN General Assembly but saying he believed a deal would be done after the US midterm elections in November.
Donald Trump is set for a whirlwind schedule of meetings with leaders from four continents at the UN General Assembly on Tuesday, against the backdrop of the wars in Ukraine and Iran that show no signs of abating.
A student opened fire in front of their high school in Turkey's western province of Manisa early on Tuesday, wounding at least 11 other pupils, Justice Minister Akin Gurlek said.
UAE President His Highness Sheikh Mohamed bin Zayed Al Nahyan, along with Their Highnesses the Supreme Council Members and Rulers of the Emirates, offered their condolences to His Highness Sheikh Mohammed bin Rashid Al Maktoum, Vice President, Prime Minister and Ruler of Dubai, on the passing of Sheikh Ahmed bin Rashid Al Maktoum.
Sheikh Ahmed bin Rashid Al Maktoum has been laid to rest at Dubai's Umm Hurair Cemetery on Tuesday, following a funeral prayer attended by royals at Grand Zabeel Mosque.