The events, including a conference on September 9, will coincide with World Suicide Prevention Day on September 10.
Speaking at the launch, Ms Corr said if people cannot see a way out, they have no hope.
“Hope is what makes you put your feet on the floor and get out of bed every morning, and when you have depression — hope dies.
“When we have a physical illness no one bats an eyelid, and yet mental illness is just the same — an illness. Why do we separate the head from the body?”
Mr Higgins said the issue of suicide, especially among young men, needs urgent attention.
“In this climate — more than ever — we need to be aware of those around us who are struggling and may need some help.
“I welcome the Console conference and the wider discussion that will follow and I think it is a positive way to mark World Suicide Prevention Day.”
“We need to build a truly inclusive society with support for the dignity and participation of every person. No one should suffer the effects of exclusion and isolation.”
The conference will be opened by President Mary McAleese and addressed by Health Minister James Reilly.
International experts will attend and a provocative presentation on the approach to male suicide is expected from Dr Harry Barry.
On Monday evening, the 3Ts charity — Turn the Tide of Suicide — will hold a candlelight vigil in Dublin city centre.