The alleged controller of Mumbai Terror attack in Pakistan are as follows-:

Hafiz Muhammad Saeed - Living in Pakistan - Founder of Lashkar-e-Taiba (LeT) and amir of its political arm, Jamaat-ud-Dawa (JuD). Maintains LeT was uninvolved in the attack. India has demanded Pakistan arrest him and extradite him to India.
Zaki-ur-Rehman Lakhvi - In custody of Pakistan military - Senior member of Lashkar-e-Taiba. Named as being one of the masterminds of the Mumbai attack. Said by U.S. officials to have been involved in operations in Chechnya, Bosnia and Kashmir, where he allegedly trained LeT operatives to carry out suicide attacks.
Masood Azhar - In custody of Pakistan military - Wanted by India in connection with the attacks on the Indian Parliament in 2001. Involvement with present Mumbai bombings unspecified. Leader and founder of Jaish-e-Mohammed (JeM).
Yusuf Muzammil - Status Unknown, Presumed living in Pakistan - Senior member of Lashkar-e-Taiba.

Named as the handler of Faheem Ansari, who was arrested in February 2008 scouting sites for attack in Mumbai, as well as mastermind of the attacks by surviving gunman Amjal Kamal.
Zarar Shah - In Pakistani custody- one of Lashkar-e-Taiba's primary liaisons to the ISI. Investigators in India are also examining whether Mr. Shah, a communications specialist, helped plan and carry out the attacks in Mumbai. "He’s a central character in this plot," an American official said.Zarar Shah confessed to Pakistani authorities that LeT carried out the attacks, according to the Wall Street Journal.
Hamad Ameen Sadiq - In Pakistani custody - Pakistan's Federal Investigation Agency calls him the "main operator".