Khaeryll Benjamin bin Ibrahim was arrested with 4.5 grams of the narcotics in April at Kualanamu International Airport.
In addition to the jail time, the 38-year-old was ordered to pay a fine of US$74,000 (RM312,539) by the Medan District Court.
However, the prison term was lower than the 14 years recommended by prosecutors and he escaped a possible death penalty.
“We declare the defendant Benjy proven legally and convincingly guilty … against the law of possessing and controlling narcotics,” head judge Wahyu Prasetyo Wibowo said.
Ibrahim – known to fans as Benjy – is the son of legendary Malaysian actress Azean Irdawaty, according to Malaysian media.
Indonesia has some of the world’s toughest anti-narcotics laws and people caught smuggling more than five grams of some controlled substances can be sentenced to death.
Indonesian President Joko Widodo launched a tough campaign against narcotics use in 2014, which culminated in the execution by firing squad last year of seven foreign drug convicts – including two Australians.
But the move drew worldwide condemnation, and the government has since shown little sign of preparing for more executions, saying it is focused on fixing the economy.