The official Vietnam News Agency reported the suspects were charged with organizing illegal trafficking.
It said that an investigation revealed the seven suspects had aided 67 individuals traveling illegally to European nations to get the job done.
Vietnamese authorities also have asked the authorities to find support from Interpol to issue a”Red Notice”, to detain one of those suspects that reside in China. The investigation is ongoing.
The bodies of 39 individuals were found from the trailer at the town of Grays, Essex in October.
Police say all of the victims were from Vietnam and were aged between 15 and 44 years old.
The 31 men and 8 girls are thought to have paid individual traffickers to carry them into the United Kingdom.
Several men and women, such as the driver of the lorry, have been charged in the UK with manslaughter or helping in illegal immigration.