In 1981-1983, it was decreed that Yesayan was a Declaimer at the Chair of Social and Labor Eligibility at the All-Union Distance Learning Institute of Law (Moscow).

On 20 September 1990 RA Supreme Council assigned Ashot Yesayan Minister of Labor and Social Security of Armenia.

Here is the list of the posts Ashot Yesayan once held: Co-president of Armenia's Orphanages Foundation (1993), Head of the public organization Hraparak aimed at social dialogue and support (since 1997), independent expert of the UN Development Agency (1999).

Ashot Yesayan marked the social situation of the past 5 years in the Republic, especially meeting the poverty reduction objectives.

During the years 1998-2000, Ashot Yesayan headed the Project “Struggle against children's begging” implemented by the Fund of Armenian Relief.