The researchers conclude that more certainty of paternity leads to more time spent with the baby, which meant the baby effectively has more supervision.
The experts also said that all the extra time spent with dad meant the babies were healthier, with fewer cases of asthma and fewer trips to the doctor because of illnesses.
"The main explanation is that frequent father visits allow for greater parental time for care-giving and supervision, and for information gathering about child health and economic needs," said Solomon Polachek, economics professor at Binghamton University and co-author of the study.
"It's been said that 'it takes a village' but my co-author, Marlon Tracey, and I find that having an involved father certainly helps."
The study found that an extra day (per month) of time-investment by a typical visiting father enhances child health by just over 10 per cent of a standard deviation.