Streeting said the government would "not let the BMA hold the country to ransom" and it was doing "everything we can to minimise the risk to patients".
Writing in the Times on Friday morning Prime Minister Sir Keir Starmer urged resident doctors not to follow their union down the "damaging road" of strike action.
He said the walkout would cause a "huge loss for the NHS and the country", as he criticised the BMA for "rushing" into strikes.
Resident doctors took to picket lines at hospitals in England on Friday, holding placards calling for pay restoration.
At St Thomas' Hospital in London, resident doctor Kelly Johnson said suggestions the strike was unjust felt like a "slap in the face".
"When doctors decide to take strike action it's always portrayed as though we're being selfish, but we're here as a body to help the public day in, day out," she said.
At Leeds General Infirmary, Cristina Costache, a paediatrics registrar, said it was a "difficult decision" to go on strike.
"I get depressed if I'm not in work," she said. "My heart is always at work. But I also care about my colleagues and my profession."
Previous walkouts have led to mass cancellations of operations, appointments and treatments.
More than one million were cancelled during resident doctor strikes in March 2023 and routine care was cut by half at some hospitals.
But this time NHS England ordered hospitals to only cancel non-urgent work in exceptional circumstances.