The elements, which were cast by the Czech glass plant "LHOTSKY", consist of six blue glass plaques and 29 blue and white 'drops'.
The first stage of the renovation of the monument, designed by Kuzma Kovacic, costs some 124,000 euros.
Zagreb Mayor Milan Bandic, who together with the author Kovacic attended today's ceremony, said that a project for the reconstruction of the entire Medvedgrad complex would be drawn up until year's end.
The implementation of the project by the Institute for Monument Conservation, the Museum of the City of Zagreb and the author Kovacic will take three years.
The memorial complex, built on the site of the old citadel of Medvedgrad on Mount Medvednica, is composed of cubes of different sizes representing the national coat of arms, with national emblems carved on the stone cubes.
The first Croatian President, Franjo Tudjman, inaugurated the memorial complex in 1994.
During today's ceremony, reporters asked the Zagreb Mayor when a square in the Croatian capital would be named after Tudjman, to which Bandic replied that the first Croatian president deserved to have a Zagreb square named after him.