June 1 – Kivu Ebola epidemic: The World Health Organization reports six new cases of Ebola, and UNICEF reports five deaths, in a renewed outbreak of the disease in Mbandaka, Équateur Province, Democratic Republic of the Congo.
June 2 – A US$5 billion class action lawsuit is filed against Alphabet Inc. and Google, alleging the company violates users' right to privacy by tracking them in Chrome's incognito mode.
June 3
Prime Minister Boris Johnson says the UK will change immigration laws to offer a pathway to UK citizenship for all Hong Kong citizens who are eligible for BN(O) status if the government of China imposes new security laws on the territory.
SpaceX successfully launches and deploys 60 Starlink satellites into a low Earth orbit from Cape Canaveral Air Force Station, bringing the total number of Starlink satellites in orbit to 482.
Russian President Vladimir Putin declares a state of emergency after 20,000 tons of oil leaked into the Ambarnaya River near the Siberian city of Norilsk within the Arctic Circle on May 26, 2020. The World Wildlife Fund said the accident is believed to be the second-largest in modern Russian history.
June 4
Libya's Government of National Accord (GNA) says they are in full control of the capital, Tripoli, after forces of the Libyan National Army (LNA) retreat from the territory following months of intense fighting in the city.
Hong Kong legislative council passed the controversial National Anthem Ordinance.
June 7 – COVID-19 pandemic: The global death toll from COVID-19 exceeds 400,000.
June 8 – COVID-19 pandemic: The number of confirmed cases of COVID-19 passes 7 million worldwide.
June 9 – COVID-19 pandemic: A Harvard University study suggests that COVID-19 may have been spreading in China as early as August 2019, based on hospital car park usage and web search trends.
June 15
At least 20 Indian soldiers and over 40 Chinese forces are killed or injured in skirmishes in the disputed Galwan Valley, the largest escalation along the Sino-Indian border in five decades.
Turkish and Iranian forces commence air and artillery strikes against Kurdistan Workers' Party forces in Iraqi Kurdistan. Turkey launches a land operation in the region on June 17.
June 16
COVID-19 pandemic: The number of confirmed cases of COVID-19 passes 8 million worldwide.
North Korea demolishes the Inter-Korean Liaison Office in Kaesong, established in 2018 to improve relations.
June 21 – An annular solar eclipse occurs.
June 22 – COVID-19 pandemic: The number of confirmed cases of COVID-19 passes 9 million worldwide.
June 23 – A 7.5-magnitude earthquake strikes the coast of Oaxaca, Mexico and kills at least four people. It is felt more than 640 kilometres (400 mi) away in Mexico City.
June 27 – Micheál Martin succeeds Leo Varadkar as Taoiseach of Ireland in a historic three-party coalition government.
June 28
COVID-19 pandemic:
The number of confirmed cases of COVID-19 passes 10 million worldwide. The U.S. continues to report the highest number of any country as it reaches 2.5 million, a quarter of all cases globally.
The global death toll from COVID-19 exceeds 500,000.
June 30 – China passes the controversial Hong Kong national security law, allowing China to crack down on opposition to Beijing at home or abroad.
India
une 2-4 – Cyclone Nisarga hit the western coast of India, causing damage in the state of Maharashtra.
June 5 - The President of India promulgates three ordinances related to agriculture, which would be later proposed as a bill and consequently passed as an act.
June 14 - Bollywood Star Sushant Singh Rajput found dead at his Bandra Residence in Mumbai.
June 15-16 – 20 personnel of the Indian army including a commanding officer, are killed in action in the ongoing Skirmishes between India and China at LAC in the Galwan Valley of Ladakh.
June 17 – India wins a two-year seat on the United Nations Security Council to begin January 1, 2021 during the 2020 Security Council Elections.
June 25 – Indian Railways suspends all passenger train service (except Rajdhani and Migrant Special Trains) till 12th August 2020.
June 29 – Indian Government bans 59 Chinese Apps including TikTok, CamScanner, SHAREit and UC Browser due to ongoing Sino-Indian Border tensions.
