The mobile app was made available in Thailand on Saturday, delighting many in a country where Japanese subcultures have a significant following.
But the game -- which encourages users to hit the pavements in search of digital monsters -- has sparked safety concerns partly because Bangkok's streets are notoriously pedestrian-unfriendly.
"Thai walking culture is not like Japan and there are limited pavements," government spokesman Sansern Kaewkumnerd told reporters on Tuesday.
But the premier has urged players to know "their limits... and use their time wisely," Sansern added.
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"The game could harm players with things like loss of money, their job, their education as well as the relationships they have with the people around them," he said.
He added that parents should advise their children to be "self-disciplined" and use their time well.
His comments came as Deputy Prime Minister Prawit Wongsuwan said the game was banned inside military barracks and government security agencies.
Even when a pedestrian's eyes are firmly fixed ahead Bangkok's streets can be a veritable obstacle course.
Pavements are patchy and those that exist are littered with hurdles from street vendors and fire hydrants to potholes and tangled wiring.
Thailand's Public Health Ministry said the game should be welcomed for encouraging people to exercise but warned users to be careful near "roads, swimming pools, rivers and canals".
Some have even taken to using motorbike taxis and cars to get a head start as they navigate the traffic-choked city in their search for Pokemon.
Giorgio Taraschi, an Italian living in Bangkok, said he was lightly struck on Monday night by a man driving a car while playing the game.