The study which included 5.7 million children in five countries also found a higher risk of autism among children of older parents and those born to teen parents.
"Although parental age is a risk factor for autism it is important to remember that, overall, the majority of children born to older or younger parents will develop normally," said co-author Sven Sandin, a medical epidemiologist affiliated with the Icahn School of Medicine at Mount Sinai, in New York, and Sweden's Karolinska Institutet.
The children were born between 1985 and 2004, and the researchers followed up on their development until 2009, checking national health records for autism diagnoses.
According to the researchers, autism rates were 66 per cent higher among children born to fathers over 50 years of age and 28 per cent higher when fathers were in their 40s, than among those born to fathers in their 20s.
They also found that autism rates were 18 per cent higher among children born to teenage mothers than among those born to mothers in their 20s.
Autism rates rose still higher when both parents were older, in line with what one would expect if each parent's age contributed to risk.
The study also found that autism rates increased with widening gaps between two parents' ages.
These rates were highest when fathers were between 35 and 44 and their partners were 10 or more years younger. The rates were also high when mothers were in their 30s and their partners were 10 or more years younger.
By contrast, the risk factors associated with a mother's age remain unexplained, as do those associated with a wide gap between a mother and father's age, researchers said.
The study was published in the journal Molecular Psychiatry.
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