The history of CUJAE has its antecedents in the old School of Engineers, Electricians and Architects of the University of Havana, created on June 30, 1900, when the Military Orders for this purpose.

As a result of the reform movement that began in 1923, there is a significant turnaround in the programs that had not been reviewed for some twenty years, causing changes in the curricula of the three aforementioned careers.

The incorporation of a broad student movement to the insurrectionary process organized at that time to overthrow the government of the day, caused the closure of the university in the year 1956, which did not reopen until after the revolutionary triumph of January 1, 1959.

With an independent structure, this university begins its teaching activities in the academic year 1976 - 1977 and with it is would also open a new faculty, the Azucarera, whose antecedents are embedded in the Branch created in 1972 in the Central "Camilo Cienfuegos".

Hymn, which was heard for the first time at the opening ceremony of the 2014–2015 academic year, exalts the values and pride of Cujaeños in belonging to this House of Higher Studies.

Here is the list of deans and rectors that the Faculty of Technology and later the Higher Polytechnic Institute have had since its founding date: It currently has ten digital scientific journals, oriented to topics related to engineering, architecture and pedagogy: The CUJAE is in a constructive process, which from 2017 to 2021 has as its objective the renovation of the center.

The CUJAE Project has its antecedents in the act for the 50th anniversary of the institution chaired by Raúl Castro, president of the Councils of States and Ministers, who gave the orientation of "putting the school at the height of the times current ".

Internet on the other hand is restricted by a proxy server Squid for linux that allows controlled access for its users (teachers and students of the CUJAE).