The union is urging members to vote for industrial action, with sources saying strikes would be the likely action taken.
This year's pay rise comes after resident doctors were awarded rises worth 22% over the previous two years.
Streeting agreed to that deal shortly after coming into office, ending a dispute which had lasted more than a year.
Taking account of this year's pay rise, it means the starting salary for a doctor fresh out of university has risen by £9,500 over the past three years to around £38,800, the government said.