Parents of the youngest children are more likely to be found tapping away at Twitter or Facebook - 86 per cent of parents of under-5s admitted to using social media when they were with their child.
Charities have previously raised concerns that parents' technology use could be making their children lonely.
Barbara Honey, a senior practice consultant for relationship charity Relate, warned that watching a parent staring at a phone could cause emotional distress for a child, particularly if they are very young.
"If a parent or carer is paying attention to something else and not to the child, children are very perceptive - they can interpret that behaviour and think 'there's something wrong with me, I'm naughty, I'm not good enough'," she said.
She also warned that parents who are "glued" to a device could be stunting children's social skills - and could even be guilty of neglect.
While previously activities such as ironing and watching TV could be done while interacting with children, new technology meant parents were more likely to shut them out.
"You learn crucial social and communication skills from your parents and their interactions with you, and by observing what they are doing.