The official Vietnam News Agency said the suspects were charged with organizing and brokering illegal emigration.
It said an investigation showed they had helped 67 people travel illegally to European countries to work.
Vietnamese police also asked the government to seek Interpol's help in issuing a “Red Notice” for the arrest of one of the suspects who is living in China, the news agency reported Thursday.
It said the investigation of the case was continuing.
The bodies of 39 people were found Oct. 23 in the English town of Grays, east of London. Police say the victims were all from Vietnam and were between the ages of 15 and 44. The 31 men and eight women are believed to have paid people traffickers for their transit to England. Police say they died of a combination of a lack of oxygen and overheating in an enclosed space.