The building, located in the central square, was built in the first period of government of I. Kapodistrias. It was designed by architects Stamatis Kleanthis and Eduard Schaubert and its construction began in 1830 with a donation by the Swiss philhellene Eynard, thus the name "Eynardeio". It is the first neoclassical building in the country and one of the first public buildings of the Greek State.
The building consists of a ground floor entrance with two rooms on each side of it. One of the two rooms used to be the school for male students who wanted to pursue higher studies. The other room was a school for the further training of teachers. After the transfer of the capital in Nafplion in late 1829, the building was used to house a library and later, until 1981, the Archaeological Museum of Aegina.