During his visit, Tusk will meet Indian Prime Minister Narendra Modi in New Delhi and Vietnamese Prime Minister Lê Minh Hưng in Hanoi.
In India, talks are expected to focus mainly on cooperation in the defence industry and new technologies.
Regional and global issues, including the war in Ukraine and the conflict in the Middle East, as well as Poland's aspirations to participate in G20 work, are also on the agenda, according to the Prime Minister's Office.
Tusk's India programme will begin on Thursday in New Delhi. He is due to meet Indian Foreign Minister Subrahmanyam Jaishankar and lay flowers at the Gandhi Mausoleum before meeting Modi.
The two prime ministers will make statements to the media after delegation-level talks.
Tusk will also open a business forum in New Delhi and address it. Polish business representatives will accompany the delegation.
On Friday, Tusk is due to travel to Bengaluru, where he will meet officials including Yuvraj Sambhajiraje Chhatrapati, Karnataka Chief Minister Doddalahalli Kempegowda Shivakumar and Governor Sudha Yadav.
He will also speak at a Polish-Indian business seminar focused on information and communications technology (ICT) and aerospace.
After India, Tusk will travel to Vietnam.
On Saturday, he is due to lay flowers in Hoi An at a monument and plaque commemorating Polish architect and heritage conservationist Kazimierz Kwiatkowski, who contributed to the preservation of the city's historic sites.
The main part of the Vietnam visit is scheduled for Monday in Hanoi.
Tusk is due to lay wreaths at the Monument to Heroes and Martyrs and the Ho Chi Minh Mausoleum before meeting Prime Minister Lê Minh Hưng.
The two leaders will make statements to the press after talks and the signing of documents.
Tusk is also scheduled to meet Vietnam's president, Communist Party General Secretary Tô Lâm and National Assembly Chairman Trần Thanh Mẫn.
According to the Polish Prime Minister's Office, his talks in Hanoi will cover bilateral relations and the implementation of a roadmap for the Strategic Partnership.
The office noted that Poland joined the Treaty of Amity and Cooperation in Southeast Asia on July 24.
(sp/gs)
Source: PAP