Sergeant Damien Walsh says he believes he may be called Oliver.
The toddler is wearing a blue sleep suit with stars on it.
Said Sgt Walsh: “He is safe, he is fine and with us at Tennent Street station.
“He is decked out in a new set of pyjamas.
“But we are obviously very keen to speak to his parents or guardian.
“Please call us on 101 if you have any information.”