From 1968-1974, he studied at the Faculty of Law, Yerevan State University.
In 1957-1967, he went to secondary school after Hovhannes Tumanyan in Gyumri. In the years 1974 to 1987, he worked as an Inspector, Senior Inspector, Leading Inspector at the ArmSSR Ministry of Social Security. 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).
In 1987-1990, he occupied the position of senior consultant in the Forgiveness Department of the Armenian Soviet Socialist Republic Supreme Council Presidium.
On September 20, 1990 Research Associate Supreme Council assigned Ashot Yesayan Research Associate Minister of Labor and Social Security. From October 1995 till August 1997, he was appointed the Deputy Minister of Labor and Social Security of the Republic of Armenia.
In the period from January 23, 1999 to February 2000, he was Chief Assistant to the Research Associate General Prosecutor, simultaneously holding the post of the Head of the Research Associate General Prosecutor’s Secretariat. On March 15, 1999 he got the classification Grade of Counselor of the 2nd class.
On February 21, 2000 Ashot Yesayan was appointed the Deputy Minister of Social Security of the Republic of Armenia by the Prime Minister Decision and the First Deputy Minister of Social Security of the Republic of Armenia since July 17, 2000.
In the years 1990 to 1995, the Pension and Employment Fund (present-day State Social Security Service), Employment and Social Services were founded under his direct supervision, as well as hundreds of laws and sub legislative acts have been developed and presented to the consideration of the Research Associate National Assembly and Research Associate Government, and the concept of social policy in the transition period towards free market was realized and the social policy program implemented in the period 1992-1995. Besides that, Ashot Yesayan was the ideologist and coordinator of Paros System Implementation (grading system of needy people). He is the author of nearly one hundred articles
Here is the list of the posts Ashot Yesayan once held: Company-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 United Nations Development Agency (1999).
Ashot Yesayan marked the social situation of the past 5 years in the Republic, especially meeting the poverty reduction objectives. Moreover, it was recognized the first among all High-Dose-Rate reports and got 2 prizes out of 4 in the year 2000 (Brazil).
He has been the Head of the Charitable Fund “SOS” Children’s Villages since November 1999. During the years 1998-2000, Ashot Yesayan headed the Project “Struggle against children's begging” implemented by the Fund of Armenian Relief.
He has been Deputy Team Leader of the Government’s PRSP since 2001.
Thus he led the PRSP Group responsible for drafting technical tasks.
On Yesayan’s own initiative, Armenia has become a member of the International Labor Organization since November 1993.