Both Henry and chairman Ken MacKenzie used their addresses to the meeting in Perth to apologise to victims of such behaviour.
MacKenzie said the company's commitment to safety extended to the "total elimination" of sexual harassment, racism and bullying in BHP workplaces.
"That is why I want to apologise to all those who have experienced or continue to experience, any form of sexual harassment, racism or bullying anywhere at BHP," he said.
"We are determined to eliminate these harmful behaviours. At BHP, we are committed to providing a safe, inclusive, and supportive workplace culture where everyone can bring the best of themselves to work.
"Although we are making progress in these areas, we know we have a lot more to do."
Henry said he was deeply sorry to anyone who had experienced or continued to experience any form of sexual harassment, racism or bullying anywhere at BHP.
"I am fiercely determined to do everything I can to stop this conduct," he said.
"I speak on behalf of the whole of the senior management team in this regard."
Henry outlined the action the company is taking action to address the issues.
"In the past year, we have spent more than US$200 million in upgrades to security at accommodation villages, with faster progress constrained only by the supply chain's ability to keep up with us," he said.
"We have enhanced our training programs, including for both leaders and bystanders, and we have established and improved our support services.
"I know we have more to do and this is a priority that is reflected in my and our team's performance measures."
Henry said BHP was increasing its efforts to tackle racism.
"Eight months ago I asked [chief commercial officer] Vandita Pant to lead this effort at an executive level and in the period since employees and contractors across 10 locations and eight countries have participated in sessions where we have been able to hear about their experiences," he said.
"A dedicated project management office has also been established to progress our work towards eliminating this behaviour and ensuring an environment in which people from all backgrounds can thrive.
"As I said, people are the heart of our business and we must provide a safe, inclusive and supportive workplace that engages and empowers everyone, every day."