"You can set up your committee and get all our appointments investigated. We will also set up a committee to probe Sahara, Birla bribery scams. Do you agree?" Kejriwal tweeted.
Kejriwal had earlier accused Prime Minister Narendra Modi of receiving bribes from Sahara and Birla corporate houses when he was the Gujarat Chief Minister.
Kejriwal's remarks come after a Central Bureau of Investigation (CBI) inquiry was recommended by the Lt. Governor's Office into the appointment of Health Minister Satyendar Jain's daughter Soumya Jain as an advisor in the health department.
The CBI also registered a case in connection with alleged irregularities in appointment of Health Minister Satyendar Jain's officer on special duty (OSD).
Bharatiya Janata Party (BJP) leader Vijender Gupta also demanded a high-level committee probe into appointments made by the Aam Aadmi Party (AAP) government.
"We are not scared of any investigation because we did nothing wrong. But why are you scared of the investigation," Kejriwal responded.
"CBI has registered seven cases against Satyendar Jain and two cases against Manish Sisodia. After taking bribes from Sahara and Birla, Modiji files cases against honest people," the AAP leader added.