The death was most likely to be an accident, the ABS said on Wednesday.
Someone who died from drugs in 1999 was most likely to be younger - in their early 30s - and had taken morphine, heroin or benzodiazepines.
The ABS said while prescription drugs caused the highest numbers of drug-induced deaths, there had been a rapid increase in the number of methamphetamine deaths.
The death rate from psychostimulants including methamphetamines and ice has quadrupled since 1999, reaching 1.6 deaths per 100,000 Australians.
The ABS said while the total number of drug-induced deaths was the highest on record, the death rate per capita was lower than in 1999.
The rate reached 7.5 deaths per 100,000 people in 2016, compared to 9.2 in 1999.
The rate of drug deaths among younger people has fallen significantly since 1999 but is now much higher among older age groups, particularly those aged 45 to 64, the ABS says.
It says deaths from illicit substances like heroin and methamphetamines tend to occur among younger age groups, while deaths from benzodiazepines and prescription opiates tend to occur among older people.
More than 70 per cent of drug deaths last year were due to acute accidental overdoses.