A baby boy remains stable in Tauranga Hospital more than three weeks after sustaining injuries police described as "non-accidental" and shocking.

A police investigation started after an incident on December 30 at a Welcome Bay address.

The then three-and-half-week-old baby was taken to Tauranga Hospital then flown to Starship Hospital in Auckland.

He has since returned to Tauranga Hospital.

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Detective Senior Sergeant Greg Turner of the Tauranga CIB said no one had been arrested and the investigation was continuing.

"However I am confident that police will identify the person or persons responsible.

"Police have been receiving some excellent support and assistance from family and the community, however I ask that anyone in the community with information makes contact with the Tauranga Police on 07 5774384," he said.

The incident shocked Welcome Bay residents who demanded answers.

"There is a lot of angry and p****d off people in this neighbourhood and we all want to know how the baby is doing and who caused these injuries."

Another said: "Oh my God, it's shocking. What the hell is going on? This is an innocent young baby. We need to know who could do such a horrible thing, everyone wants to know."