The Sindh University Engineering college Jamshoro was established in 1963 as a constituent college of the University of Sindh to provide adequate opportunity of engineering education to the people belonging to the interior of Sindh Province. According to the education policy of 1972, the government decided to upgrade the college to the level of University of Engineering & Technology after shifting it to Nawabshah. Consequently, the first year classes were started at Nawabshah in February, 1974.

In July 1976, this institution was declared as an additional campus of the 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 15th March, 1977 through an ordinance. Later-on, the Provincial Assembly of Sindh also passed an Act in this regard and named the institution as Mehran University of Engineering and Technology, Nawabshah.

In 1980, the Government decided to shift Mehran University of Engineering and Technology to Jamshoro and the campus at Nawabshah was declared as a constituent college of Mehran University; renamed as Mehran University College of Engineering and Technology (MUCET), Nawabshah". On 7^th August 1996, MUCET was upgraded to the level of a university through an ordinance and later through an act of Sindh Assembly and was renamed as Quaid-e-Awam University of Engineering, Science and Technology (QUEST), Nawabshah. At present, QUEST is accredited with the Higher Education Commission (HEC), Pakistan Engineering Council (PEC) and is the member of Association of Commonwealth Universities.

QUEST is situated just outside the city of Nawabshah near airport and is spread over an area of 457 acres on both sides of the main Sakrand Road. Presently, it consists of three academic sectors. Sector-A houses the departments of Electrical Engineering, Computer Systems Engineering, Information Technology and Computer Science. Sector B houses the departments of Civil Engineering, Mechanical Engineering, Basic Sciences & Related Studies, and Mathematics & Statistics. All the laboratories of Civil Engineering, Mechanical Engineering and Workshops are located at Sector-C. Whereas, the newly established department of English is located on the first floor of the old library building, adjacent to the newly constructed and fully equipped Data Center and Examination Branch located at ground floor near Sector-B.

The Central Library is located in between the multipurpose hall and the hostels. This beautiful, capacious building is fully equipped with all the basic facilities for students and is open for 7 days a week. The departments of Electronic Engineering, Energy & Environment Engineering are located near Sector A and C; whereas, the Telecommunication Engineering and Chemical Engineering departments are located near Mechanical Engineering workshops. The Administration Block is situated near Sector-C. All the stakeholders of the university, i.e., teachers, officers, employees and students have the facility of an express electricity feeder to work with full peace of mind with zero load shedding. There is a well-planned residential colony consisting of a substantial number of bungalows for the teachers and officers and quarters for employees. A constituent college, named Engineering College Larkano, was established at Larkano city in 2010. The Honourable Chief Minister, Sindh upgraded the college and declared it as QUEST Campus Larkano, vide a Notification No.SO(U)/U& B/QUEST/7-1/2018/211, dated 23-11-2018