Joining Vietnam in the No 3 group are Malaysia, Laos, Jordan, Yemen, Bangladesh, the Philippines and Hong Kong.
The No 1 seeded group consists of Indonesia, Japan, Syria, the Republic of Korea, Uzbekistan, Saudi Arabia, Iran and Iraq.
The No 2 seed group includes China, the Democratic People's Republic of Korea (DPRK), Oman, Qatar, Bahrain, the United Arab Emirates, Kyrgyzstan and Thailand.
Nepal, India, Cambodia, Timor-Leste, Tajikistan, Singapore, Myanmar and Palestine are in group four.
As planned, Vietnam will convene on July 22 to prepare for the event, which will be held in Indonesia from August 18 to September 2.
The team will train at the PVF Centre in Hanoi and play three friendly matches to hone their skills.
They will meet Barcelona B, U23 Oman and U23 Uzbekistan in early August at My Dinh National Stadium.
Thirty-two men’s football teams have registered to compete in the upcoming Asian event.
According to Chairman of the Indonesia Asian Games Organising Committee, Erick Thohir, the 2018 event has attracted the largest number of football teams in the history of the Asian Games.
The teams will be divided into eight groups, with the two best teams from each group progressing to the knockout round.