The baby was found by a bin collector outside All Saints Church shortly before 12.45pm last Tuesday (March 25).
According to the Metropolitan Police, the body was left in a black M&S bag.
Police have since arrested a woman, in her 30s, last Saturday (March 29) on suspicion of concealing a birth, neglect and infanticide.
She has been taken to hospital, where she currently remains, for treatment and to ensure all necessary medical care was provided to her.
A forensic post-mortem will take place later this week, which will help officers understand more about the baby boy’s death.
The Metropolitan Police says officers remain open-minded about the circumstances and investigations are ongoing.
Superintendent Owen Renowden, who leads policing for Kensington and Chelsea said: “This is an ongoing, fast-paced investigation, with officers working tirelessly to ascertain the circumstances of the baby boy’s death.
“We believe that the woman is the baby’s mother and I am reassured that she is receiving the support she needs, while officers continue their work to understand what took place.
“I recognise that the news of this arrest may cause concern among our community, but when dealing with investigations of this nature our priority is to ensure the welfare of all involved and ensure that all lines of enquiry are fully explored.
“I appreciate the high level of attention that this investigation has received, but we politely ask for the public not to speculate.”
Anyone with information is asked to contact police on 101 or message @MetCC on X quoting CAD1879 of 26 March.