Fattah, who has just left his position as head of IKRC, is replacing Mohammad Saeedikia in Mostazafan Foundation for a five-year period, the Leader's website reported. He had earlier served as a managing director under the Islamic Revolution Guards Corps in 2010-16 and energy minister in 2005-10.
Bakhtiari, who is replacing Fattah at IKRC, has held different government positions, including as justice minister (2005-09).
IKRC is a charitable organization that supports poor families to help them regain their financial stability, Financial Tribune reported.
Mostazafan Foundation is a social welfare institution that controls manufacturing and industrial companies whose profits are used to promote the living standards of the disabled and poor individuals.