Two more facing investigation for alleged sexual misconduct did not have contracts renewed.
Daccord also said that the probability of having misconducts, that are not informed about yet, or not well dealt with, is still high with the agency's footprint widespread, as well as having over 17,000 workers.
Since 2015, 21 staff members have either been dismissed or resigned following an internal inquiry.
Two others did not have their contracts renewed over similar circumstances, he added, explaining that the decentralised nature of the organisation with 17,000 staff worldwide made it hard to compile figures.
Following the Oxfam scandal, the British Red Cross admitted a "small number of cases of harassment reported in the UK" - believed to be up to five.
The ICRC head described the behaviour as "a betrayal of the people and the communities we are there to serve", and said it was "against human dignity".
The charity said none of the incidents involved British staff or citizens.
ICRC and Plan International is just the latest organisations to be drawn into a wave of sexual misconduct allegations regarding their employees, alongside Oxfam, Save the Children and Medecins Sans frontiers. They have promised to do more to prevent misconduct.
"We are fully committed to efforts among NGOs, government and the United Nations to make sure we do everything within our power to stop abuse, including strengthening our approaches to safeguarding and HR, and creating a culture that encourages staff to speak out". We are concerned incidents that should be reported have not yet been reported, or were reported but not properly handled. "We are determined to be an organisation where abuse and exploitation can not take place".
"It is so important that the silence that has surrounded this issue has been shattered".
"This is a watershed moment for the humanitarian sector as a whole".