"The five-star fast by Narendra Modi is a drama and there is no right motive behind it... it is not for any good cause," Maulana Bunai Noaim Hasani of the Board told reporters here.
The condition of Muslims has not improved in Gujarat in the past few years, and they are living as "refugees" there, he said.
The fast raised suspicions about the motive, he said, adding people should be wary of the politicians who resort to "stunts such as this".
Jamiat-e-Ulema president Abdul Salaam Khan Qasmi alleged that both the Congress and Modi were fooling the people.
"People are being fooled by the Congress and Narendra Modi. But people know their records," he said.
"If Modi regrets the 2002 riots in Gujarat, then he should visit the victims homes and shed some crocodile tears," Qasmi said.