"For all other childhood cancer types and adulthood cancer sites we found no statistically significant associations."
The increase in the relative risk of childhood leukaemias was greater, at 33 per cent, than for cancer overall.
Dr Hargreave said other studies had pointed to a potential increased risk of cancer in children who were conceived through the use of assisted reproductive technology, but the results had been inconsistent and were limited by imprecise risk estimates.
"Furthermore, if negative effects of assisted reproductive technology are present, they could be related to the underlying infertility rather than the procedure itself."
Auckland University professor of biostatistics, Thomas Lumley, said the study appeared very reliable for demonstrating that there was a higher risk in children of infertile women, but didn't allow any reliable conclusions about the reasons.
"Part of the background to this is that a drug used to prevent miscarriage in the 1950s and 1960s, diethylstilboestrol, caused a specific, rare form of cancer in female offspring."
Fertility Society president Dr Mark Bowman said there was no conclusive evidence the increased cancer risk reported by Dr Hargreave was "directly associated" with fertility treatment. "Importantly, the research involves offspring born since 1963, nearly two decades before IVF came to Denmark.
"Since the first in-vitro fertilisation baby was born in Britain in 1978, five million babies have been born through this technology around the world. Overwhelmingly, these IVF offspring ... enjoy very good health."
The Risks
Offspring of women who had fertility problems were found to have higher rates of cancer than the offspring of fertile women.
* 17 per cent overall increase in the relative risk of cancer
Children:
* 33 per cent increased risk of leukaemias
Adult offspring:
* 82 per cent increased risk of skin cancers
* 187 per cent increased risk of urinary-tract cancers
* 229 per cent increased risk of endocrine gland cancers.