'BRUTAL, COWARDLY MURDER'
EU Commission President Ursula von der Leyen condemned the "brutal and cowardly murder of" the former Japanese prime minister.
"I mourn with his family, his friends and all the people of Japan," she said.
In his condolence message on Twitter, Indian Prime Minister Narendra Modi said: "Mr. Abe made an immense contribution to elevating India-Japan relations to the level of a Special Strategic and Global Partnership. Today, whole India mourns with Japan and we stand in solidarity with our Japanese brothers and sisters in this difficult moment."
Modi also announced one-day mourning in India.
In a Twitter post, Kosovar Prime Minister Albin Kurti said: "We're saddened & shocked by the murder of former Prime Minister Shinzo Abe. PM Abe was an outstanding leader of Japan & wonderful friend to Kosova. The Government of the Republic of Kosova & our people are praying for PM Abe's family, his friends, & the people of Japan."
Earlier, soon after the news of the attack spread, many leaders wished Abe a quick recovery.
US Secretary of State Antony Blinken, who is in the Indonesian capital Bali to attend the meeting of G20 foreign ministers, told a news conference: "I do have to say before we meet how deeply saddened and deeply concerned, we are by the news coming from Japan about the attempt on the life of Prime Minister Abe."
"We don't know his condition, we do know he's been shot and our thoughts and prayers are with him and his family, with the people of Japan. This is a very, very sad moment," he added.
'MONSTROUS CRIME'
Zhao Lijian, China's Foreign Ministry spokesman, said Beijing was "shocked by the incident."
"We would like to extend our sympathy to his family," Zhao said.
British Foreign Secretary Liz Truss said the UK "stands with our Japanese friends at this difficult time."
French President Emmanuel Macron said he was "deeply shocked" by the heinous attack on Abe.
"Thoughts to the family and loved ones of a great Prime Minister. France stands alongside the Japanese people," he added.
Russian Foreign Ministry spokeswoman Maria Zakharova, in a statement, said: "We are convinced that those who planned and committed this monstrous crime will bear the due measure of responsibility for this act of terrorism, which cannot be justified," ministry's spokeswoman said in a statement.