This level of interactivity is akin to play, researchers said, suggesting that the technology might have a potential role in childhood developmental assessment.
The findings are based on 82 questionnaires on touch screen access and use, completed by the parents of children aged between 12 months and 3 years.
Parents were asked how long their child used touch screens each day, and whether they were able to unlock the screen, swipe through pages or images, and recognise and interact with specific features such as app icons for games.
Most of the parents (82 per cent) said they owned a touch screen device such as a smartphone or tablet, researchers wrote in the study published in the Archives of Disease in Childhood.
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Of these, most (87 per cent) gave their child the device to play with for an average of 15 minutes a day, and nearly two thirds (62 per cent) said they had downloaded apps for their child to use.
The average age of the toddlers with the ability to perform these three skills was 24 months, while the average age for identifying and using specific touch screen features was 25 months - almost three out of four (72 per cent) parents felt their child was able to do this.
"Interactive touch screen applications offer a level of engagement not previously experienced with other forms of media and are more akin to traditional play," researchers said.
"This opens up the potential application of these devices for both assessment of development and early intervention in high risk children," they said.