The 15-membe CEC, which decides on the party candidates and takes other important election related decisions at the national level, was recently revamped by Shah after he took charge as party chief.
Party veterans like L K Advani and Murli Manohar Joshi have been replaced with young faces like Madhya Pradesh chief minister Shivraj Singh Chouhan and Nadda.
Nadda is the party's national general secretary. Kumar held the position of Secretary of CEC for a long time.
The new CEC's first task will be to finalise candidates for Haryana Assembly polls.
Among its members are Prime Minister Narendra Modi, Rajnath Singh, Arun Jaitley, Sushma Swaraj, Venkaiah Naidu and Nitin Gadkari.