The decision was taken at the two-day plenary meeting of the group in Vienna.
"The States participating in the Wassenaar Arrangement reviewed the progress of a series of current membership applications and agreed at the plenary meeting to admit India will become the 42nd participating state of the Arrangement as soon as the necessary procedure to join the WA, "the group said in a statement.
India's entry into the export control regime would increase its credentials in the field of non-proliferation despite not being a signatory to the Non-Proliferation Treaty (NPT).
The membership of Washington is also expected to establish a solid case for India's entry into the 48-member Nuclear Suppliers Group (NSG).
Significantly, China, which blocked India's entry into the 48-nation GSN, is not a member of the Wassenaar Arrangement.
The Wassenaar Arrangement plays an important role in promoting transparency and greater responsibility in transfers of conventional weapons and dual-use goods and technologies.
Its member countries must ensure that transfers of these items do not contribute to the development or improvement of military capabilities that undermine these objectives. The objective is also to prevent the acquisition of these items by terrorists.
In June of last year, India joined the Missile Technology Control Regime (MTCR), another key export control regime, as a full member.
From its civilization nuclear agreement with the USA. In the United States, India has tried to enter into export control regimes such as the GSN, the MTCR, the Australia Group and the Wassenaar Arrangement that regulate conventional, nuclear, biological and chemical weapons and technologies.
French Ambassador to India Alexandre Ziegler congratulated India for "joining" the Wassenaar Arrangement.
"One more recognition, after the RCTM, of the growing role that India plays in today's world," he said.
In the plenary session, the WA reaffirmed its strong support for solid export controls worldwide as an important tool to guarantee international peace and stability.
It also adopted new export controls in several areas, including military explosives and specific electronic components.
"Existing controls were clarified regarding earth stations for spacecraft, submarine diesel engines, technology related to intrusion software, software for testing gas turbine engines, analog to digital converters, non-volatile memories and information security , "the grouping said in the statement at the end of the two-day meeting.
The next regular plenary meeting of WA will be held in Vienna in Austria in December 2018, it was announced.