Leftist activist Wael Khalil has announced on his official Twitter account that he will not be accepting the position offered to him in Mohamed Morsi's presidential team.
Khalil, a member of the group the National Front for Protecting the Revolution which vowed to support Morsi through Egypt's transition period, stated on Sunday that he preferred to remain independent.
He said that he would rather be able to freely criticise or praise those in power.
Khalil campaigned for Abdel-Moneim Abul-Fotouh in round one of the presidential race before backing Morsi in the runnoffs after Abul-Fotouh failed to advance.
The names of Morsi's presidential team are expected to be announced on Sunday.
The recently formed cabinet, chosen by newly appointed Prime Minister Hisham Qandil, was met with criticism from some quarters.
Some commentators have argued that the cabinet has too many members of the former regime, or too many supporters of the Muslim Brotherhood.
Several political parties, including the liberal Wafd and the Egyptian Social Democratic Party, had previously declared that they will not accept any positions in the new government.