They found the link after analysing observational studies involving more than 300,000 people.
UK experts said people with long-term illnesses and undiagnosed diabetes often felt tired during the day.
But they said there was no evidence that napping caused or increased the risk of diabetes.
The large study, carried out by scientists at the University of Tokyo, is being presented at a meeting of the European Association for the Study of Diabetes in Munich.
Their research found there was a link between long daytime naps of more than 60 minutes and a 45 per cent increased risk of type-2 diabetes, compared with no daytime napping – but there was no link with naps of less than 40 minutes.
The researchers said long naps could be a result of disturbed sleep at night, potentially caused by sleep apnoea.
And this sleeping disorder could increase the risk of heart attacks, stroke, cardiovascular problems and other metabolic disorders, including type-2 diabetes.
Sleep deprivation, caused by work or social life patterns, could also lead to increased appetite, which could increase the risk of type-2 diabetes.
But it was also possible that people who were less healthy or in the early stages of diabetes were more likely to nap for longer during the day.
Shorter naps, in contrast, were more likely to increase alertness and motor skills, the authors said, according to a news agency.