Nohria acknowledged that Harvard Business School (HBS) had sometimes treated its female students and professors offensively.
Nohria conceded there were times when women at Harvard felt "disrespected, left out, and unloved by the school. I'm sorry on behalf of the business school," he told at a gala event to celebrate the 50th anniversary of women MBAs at the school.
"The school owed you better, and I promise it will be better," CNN money quoted Nohria as saying.
He said he would meet with HBS faculty to discuss the objective.
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His comments come five months after an article in The New York Times that described the school's efforts to deal with gender inequality.
Nohria's newly stated objective for case studies would have a big impact on the way leadership is taught in the world's business schools because almost all MBA students are exposed to HBS cases.
"A lot of people wondered if we had to put a thumb on the scale," he said, to reach the record female enrollment number.
"Everyone of those women deserve to be at Harvard Business School."
Harvard Business School began to admit women to its two-year MBA programme in 1963 with eight students.
Besides the effort to "dramatically" increase the number of female protagonists in case studies, Nohria also pledged to launch a programme to help more women serve on boards of directors and to more meaningfully encourage mentorship of female students and alumni.
"More than anything else, you have my deep and solid commitment that the entire school will be more open to and encouraging to women," Nohria vowed.
"These ideas will only be quaint unless we work relentlessly to improve things."
Nohria graduated from St Columba's School in New Delhi and graduated from IIT, Bombay. He earned a PhD in Management from the MIT Sloan School of Management.