In order to provide adequate opportunity of engineering education to the people belonging to the interior of Sindh province, the Sindh University Engineering College Jamshoro was established in 1963 as a constituent college of the University of Sindh. According to the education policy of 1972, it was decided by the government to upgrade the college to the level of University of Engineering & Technology after shifting it to Nawabshah. Consequently, the 1st year classes were started at Nawabshah in February 1974.
In July 1976, this institution entered the second phase and was declared as additional campus of University of Sindh through amendment in the Sindh University Act, 1972 and was headed by a Pro Vice-Chancellor. The additional campus was eventually upgraded to the level of University on 1st March 1977 through an ordinance. Later on, the provincial Assembly of Sindh also passed an Act in this regard and named the institution Mehran University of Engineering and Technology, Nawabshah.
In 1980, the Government decided to shift the seat of University to Jamshoro and the campus at Nawabshah, was declared as constituent college of Mehran University; renamed Mehran University College of Engineering and Technology (MUCET), Nawabshah. On 7th August 1996, MUCET was upgraded to the level of University through an Ordinance and latter an Act of Sindh Assembly and named as “Quaid-e-Awam University of Engineering, Science and Technology (QUEST), Nawabshah. QUEST is accredited with Higher Education Commission and Pakistan Engineering Council.