Meghana Pandit, of NHS England, said the progress being made was "thanks to NHS staff".
"We are determined to continue on this trajectory for patients as staff work to turn the tide for patients waiting for care, and while huge pressure on services remains, we are starting to see a real difference across our services."
Key targets for cancer care and A&E continue to be made, although there are signs of progress, the government said.
The health services in the rest of the UK nations are also missing their key targets.
Dr Tim Cooksley, president of the Society for Acute Medicine, said significant problems still remained in England, pointing out that the number of 12-hour waits in emergency departments went up last month compared with the previous year.
He said a major problem facing hospitals was the lack of social care available in the community.
This causes delayed discharges where patients fit to leave hospital cannot go, because they need support to return home or to a care home. That in turn slows the ability of hospitals to see new patients coming in via A&E, or for routine treatments.
He said: "Social care remains unaddressed - and will do for the foreseeable future after the spending review announcement - so patients will continue to wait extended periods of time and often in corridors.
"The issue remains that, for all the rhetoric of investment, plans and solutions, the government is too focused on short-term quick wins which will fail to deliver effective and lasting change."