The study conducted by the Department for Children, Schools and Families found "consistent evidence" that a father's involvement plays a considerable part in a child's attainment.
Studies have suggested that fathers are now more involved than they were in the 1970s, particularly for those with children under five.
"There is evidence, however, of great variation in levels of fathers' involvement, so that even though levels have increased on average, a substantial proportion of fathers recorded no daily direct interaction time with their children," the Telegraph quoted the report as saying.
Almost seven in 10 fathers insisted they want to be more involved with their child's education.
However, quality, not quantity of time spent plays a crucial role.
"The quality and content of father's involvement matter more for children's outcomes than the quantity of time fathers spend with their children," said the report.
It showed that kids with fathers who took an interest in their education were more likely to get better exam results, a higher level of educational qualifications, make greater progress at school and have higher educational expectations.
They were also more likely to have a more positive attitude and be better behaved, the report concluded.
Schools Minister Jim Knight also urged parents to take a greater interest in their child's education.
He said parents were one of the "most important" influences on a child's educational attainment.
"Parents are the experts in their own children. Teachers are experts in learning. If we can bring those two things together, children will benefit hugely," he added.