The figure has risen by two percentage points since the beginning of the academic year.
It comes as the number of outstanding or good schools overall – including primary, secondary, special and pupil referral units – stands at an all-time record high of 82 per cent.
Overall, 20 per cent of schools are judged to be outstanding, 62 per cent good, 16 per cent requires improvement and two per cent inadequate.
The figures for England’s 3,114 secondary schools show that 22 per cent are rated outstanding and 51 per cent are judged to be good. A further 22 per cent are requires improvement, while six per cent are inadequate.
The latest statistics cover the January to March 2015 inspection period, during which time 246 secondary schools were visited. Of these, 11 per cent were judged outstanding, 39 per cent good,
38 per cent requires improvement and 12 per cent inadequate.
These figures are markedly different because Ofsted inspection focuses heavily on schools judged to be less than good.
Within the figures, Ofsted reports that the gap in performance between academies and maintained schools has “narrowed substantially this year”.
It states: “This is as a result of both the percentage of maintained schools which are good or outstanding increasing, and the percentage of academies which are good or outstanding decreasing.”
In August 2014, 85 per cent of primary academies were considered outstanding compared with 81 per cent of maintained academies. Both these figures now stand at 83 per cent.
Likewise, 76 per cent of secondary academies are now thought to be outstanding compared with 67 per cent of secondary maintained schools – this figure has narrowed by 13 percentage points since August.
Malcolm Trobe, deputy general secretary of the Association of School and College Leaders, praised school staff across the country for their hard work and success.
He said: “This is testimony to the hard work and commitment of leaders, teachers and other staff in schools across the country. Their professionalism is having a huge impact on raising standards and giving children and young people an excellent education.
“The work which goes on in schools on a daily basis sometimes goes unsung. The statistics published by Ofsted are a good opportunity to highlight the good news story about education in England. This is a good system with many superb schools.
“There is always room for improvement, and it is important that the profession and the government helps and supports all schools to achieve the best possible outcomes.”