The document was signed by the head of Russia's state-run corporation Rosatom, Sergei Kiriyenko, and the chairman of the Jordanian Atomic Energy Commission, Khaled Toukan, in the Jordanian capital, Amman.
Rosatom is expected to build two 1,000-megawatt (MW) nuclear power units by 2022.
Russia won the tender for the construction of the first nuclear power plant in Jordan in October 2013.
The $10-billion project is expected to become the largest one throughout the history of Russia-Jordan bilateral relations. Jordan will own a controlling stake of 50.1 percent, whereas Russia will contribute 49.9 percent of the project’s total cost.