Malik, 30, made the offer during her visit to Edhi's residence with her husband Asad Khattack.
Edhi, who has won numerous accolades and recognition for his work through his Sattar Edhi Welfare Trust, has been keeping ill for sometime now with a serious kidney ailment.
"I offered to donate my kidney to him because I feel Pakistan needs more people and leaders like him to show us the way. He is a beacon of light for all of us," Malik told reporters after she also visited the Edhi Child Centre.
But Edhi has politely declined Malik's offer.
Malik had shocked Pakistanis after moving to India for work where she made some statements and did controversial photo shoots and films considered scandalous by Pakistani standards.
But since getting married to US-based Khattack, she claims to have reformed herself and recently performed Umra with her husband.
"I found spiritual peace after meeting with Sattar Edhi and would like to serve people like him," she said.