Andy Robertson told Premier children need help to guide them through how much and what to play, even if parents don't play the games themselves.
There's been evidence some young players suffer psychological distress and family breakdown as a result of their addiction.
However, speaking during Premier's News Hour, Robertson said parents shouldn't be unduly alarmed.
"It's helpful to use that language sometimes when you're at the extreme end of someone's video game playing but I think it's worth a word of caution that the broad experience of children playing video games is healthy and it's a positive thing."
In its latest revision to an international disease classification manual, the UN health agency said that classifying "Gaming Disorder" as a separate condition will "serve a public health purpose for countries to be better prepared to identify this issue".
Dr Shekhar Saxena, director of WHO's department for mental health, said WHO accepted the proposal that Gaming Disorder should be listed as a new problem based on scientific evidence, in addition to "the need and the demand for treatment in many parts of the world".
Robertson added that some computer games should be avoided all together.
"Some of these games are rated for violence and I think as Christians it's important that we pay attention to that and look at those [Pan European Game Information] ratings which are the age ratings on the box or on the download of the game which clearly states what the contents going to be like."
Listen to Andy Robertson speaking to Premier's Eno Adeogun:
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