Lloyds Banking Group today pledged that 40% of its top 5,000 jobs will be occupied by women within six years.
The planned increase from the current level of 28% is among a series of commitments being made by chief executive Antonio Horta-Osorio.
They also include a pledge to boost net lending to small and medium-sized business by more than £1 billion this year and the support of more than 80,000 first-time buyers, up from last year's target of 60,000.
Mr Horta-Osorio, who will unveil the bank's Helping Britain Prosper Plan at a speech on Tuesday, said the commitments were an important step in regaining trust in the banking industry.
It comes a few weeks after the group was fined a record £28 million over incentive schemes that rewarded staff with ''champagne bonuses'' and put advisers under pressure to hit sales targets or face demotion.
The group, which was rescued by the taxpayer during the financial crisis after swallowing up Halifax Bank of Scotland, remains 33% state-owned.
Mr Horta-Osorio said: "The reputational impact of the financial crisis upon the banking industry's stature has been immense.
"Rebuilding a sound reputation founded on the highest standards of responsible behaviour is key to the industry's long-term success. But words alone are not enough to change public perception and regain trust.
"We must be able to provide meaningful commitments and allow ourselves to be independently measured against those."
The commitments will be independently monitored and reviewed every year. Further information about the targets will be announced on March 6, when the bank publishes its annual report.
The bank has also pledged to provide a minimum of £100 million to its charitable foundations between now and 2020.
The penalty in December from the Financial Conduct Authority came after the regulator uncovered ''serious failings'' in bonus schemes within Lloyds TSB, Halifax and Bank of Scotland (BoS) that saw frontline staff pick up windfalls even when the products were mis-sold to customers.
The investigation focused on sales of products between January 2010 and March 2012.
Business Secretary Vince Cable said: "Despite good progress since 2010, we are still not tapping into the talents of half the workforce.
"Too few women occupy the top positions of our companies today. Yet the evidence is clear - those businesses with diverse senior management make better decisions and that is reflected on the bottom line. This is not about political correctness, this is about good and profitable business sense.
"As a government we have resisted binding quotas for women executives, so business-led moves such as that by Lloyds today are crucial to show leadership and change on this important agenda. We need to make sure that becomes standard practice in the UK."