The image, released by Downing Street, captures the family speaking on a Zoom call with midwives. Some of them cared for Ms Symonds and Wilfred at University College Hospital in London when she gave birth on April 29.
The new picture comes as Mr Johnson also revealed during an exclusive interview with The Sunday Telegraph that he “certainly” does not want another lockdown and, “and nor do I think we will be in that position again”.
He said: “Yes. I mean, look, I can’t abandon that tool any more than I would abandon a nuclear deterrent.
“But it is like a nuclear deterrent, I certainly don’t want to use it.
“And nor do I think we will be in that position again.”
Boris Johnson has been pictured with son Wilfred for the first time
The Prime Minister has so far kept his son shielded from the public eye.
This partly may have been due to Mr Johnson had been taken into intensive care during his battle with coronavirus only two weeks before.
Carrie, who also experienced symptoms while pregnant, shared an adorable snap of Wilfred shortly after he was born.
She also said at the time: “Thank you so, so much to the incredible NHS maternity team at UCLH that looked after us so well.
“I couldn’t be happier. My heart is full.”
The pair spoke to midwives again on a Zoom call in the study of Number 10, Downing Street revealed in its latest snap.
Ms Symonds reportedly told the midwives how “incredibly grateful” she was for the “most amazing care” she had received in hospital.
She also thanked them for “the brilliant work they do day in and day out”.
Wilfred Lawrie Nicholas Johnson was named after the two nurses that saved Mr Johnson’s life in hospital.
Ms Symonds wrote at the time: “Introducing Wilfred Lawrie Nicholas Johnson born on 29.04.20 at 9am.
“Wilfred after Boris’ grandfather. Lawrie after my grandfather.
“Nicholas after Dr Nick Price and Dr Nick Hart – the two doctors that saved Boris’ life last month.”
Mr Johnson, who is the fourth Prime Minister in 170 years to have a baby while in office, also spoke about his son.
He described himself as a “hands on father”.
During an interview on LBC earlier this month, he said: “He’s a wonderful kid, an absolutely wonderful kid.
“But for me at any rate it is very, very busy so the concept of paternity leave is not one that I’ve really been able to deal with.”