The history of teaching engineering graphics has its roots in the beginning of technical education (1794), when the first technical school in the world was created - the French Polytechnic School. In the same period (1798), the "Linear Geometry" of the French scientist, the founder of linear geometry, Gaspar Monge (1746-1818), was published, in which the author systematically formulated the main provisions of the course and gave linear geometry the appearance of science.

After the establishment of the Polytechnic Institute of Georgia, the Georgian School of Linear Geometry and Engineering Graphics was established, which was headed by the honored figure of science and technology, Professor Archil Gulisashvili (1930-1971) for many decades.

In 1972-1977, the Department of Linear Geometry was headed by the honored scientist, Professor Irakli Japaridze.

In 1977, Anzor Shavgulidze was elected as the chair of linear geometry and engineering graphics. Anzor Shavgulidze, together with his colleagues, did great work for the renewal and development of the educational and scientific base of this department. Machine learning was introduced. This innovation was implemented on the basis of the partnership between the scientific-industrial union "Algorithm" and the Polytechnic Institute. A machine graphics laboratory complex equipped with modern equipment was established. Shavgulidze initiated the establishment of the Republican Training Center for the Pedagogical Skills of Graphic Disciplines of Higher Education Teachers. In 2007, the Department of Linear Geometry and Engineering Graphics was renamed the Department of Engineering Graphics and Technical Mechanics.

2006-2007 Professor Natela Javakhishvili was elected as the head of the Department of Engineering Graphics and Technical Mechanics, in and 2011-2021 The Department of Engineering Graphics and Technical Mechanics was headed by Professor Ioseb Batsikadze, a member of the Georgian Academy of Education Sciences. Under his leadership, in 2014, a computer center named after A. Shavgulidze was opened in the Department of Engineering Graphics and Technical Mechanics.

In 2011, the Department of Machine Parts and Lifting Vehicles was merged to the Department, which was established in 1959 and was founded by Professor O. Ezikashvili.

Since 1959, professors, academicians of the Georgian Academy of Sciences, Georgian Engineering and International Academy M. Khvingia, I. Bakradze, K. Imedashvili, D. Chelidze, b. Petriashvili, Heads of different departments of GTU, professors D. Tavkhelidze T. Mchedlishvili, M. Shilakadze and others.

Since 1990, the Department of Machine Parts and Crane-Transport Vehicles of the Technical University of Georgia was headed by Mr. Academician of the Engineering Academy, Prof. R. Varsimashvili. Since 2000, the cathedra has been headed by Prof. Sh. Sabiashvili, from 2007 to 2011 Prof. G. Chelidze.

In 1950, the Cathedra of Theory of Mechanisms and Machines was established at the Polytechnic Institute of Georgia, permanent head of which until 1986 was academician David Tavkhelidze. He was the first doctor of technical sciences in Georgia (1946) and a professor in the field of theory of mechanisms and machines.

1987-2005 Doctor of technical sciences, professor of Technical University David Tavkhelidze was appointed as the head of the Department of Theory of Mechanisms and Machines of the Technical University of Georgia. David Tavkhelidze is a member of the International Federation of Theory of Mechanisms and Machines, an academician of the Engineering Academy of Georgia, a member-correspondent member of the National Academy of the Georgian Academy of Sciences, an academician of the European Academy of Sciences and Arts, he is awarded the Order of Honor and the Medal of Honor.

In 2005-2016 Vakhtang Gogilashvili, Doctor of Technical Sciences, Professor of GTU, was appointed as the head of the department. He participated in the experiment of launching the first Georgian space object - a large expandable reflector into open space, awarded with the Order of Merit (1999).

Over the years, the cathedra produced many research and applied works dedicated to various scientific directions of mechanisms and machine theory. At the department, works on theoretical, experimental, and practical implementation of industrial robot mechanisms and research on walking machines were completed, and a field laboratory was functioning at the department. In the said laboratory, many scientific topics were completed, tasks were solved, which are typical for such priority industries as food and light industry, agriculture, wood, forest and furniture industry, heavy industry, communication and energy. The group of professors of the department made a great contribution to designing the space radio telescope. All this contributed to the creation of such a structure of the space reflector, which was later launched into orbit.