This was a key campaign promise of Mr. Akufo-Addo who was elected last year.
On Thursday the president heralded the implementation of the programme in the next couple of weeks with the unveiling of the logo.
Out of a total number of 460,941 registered candidates who sat for this year’s Basic Education Certificate Examination (BECE), 424,092 candidates have qualified to benefit from the New Patriotic Party (NPP) government’s flagship ‘Free Senior High School’ policy.
The students entering secondary school this year will also receive free textbooks, meals and other benefits.
The aim is to reduce the number of children dropping out of school.
Primary school education is already free in Ghana.
A BBC correspondent in Ghana says there is concern about how the cash-strapped government will fund the programme and whether the increase in students will lead to a deterioration in the quality of education.