FITA's secretary general Tom Dielen, in a letter to AAI president Vijay Kumar Malhotra, said that the World Body approves of the election process and fully recognises the newly elected body of the association.
Dielen also disclosed that world archery has already informed the International Olympic Committee (IOC) about this decision.
"I was informed by AAI secretary general Anil Kamineni that the Government (of India) is not accepting the outcome of the General Assembly claiming that it is not in compliance with Indian law. World Archery clearly states once more that the outcome of the general assembly is recognised by World Archery," Dielen wrote in a letter.
"The constitution of the Indian Archery Association is the only document that has relevance for the conduct of the general assembly and this document was respected. We have also informed the IOC of this matter," he added.
Hailing the decision of FITA, Malhotra said it ends the uncertainty which sports ministry tried to create by arbitrarily and illegally de recognising the AAI.
"World Archery Federation decision has vindicated our principled stand and I hope the government will also revoke its undemocratic decision.
"AAI's elections were very transparent, fair and democratic. There was a contest for several posts including that of president. The whole process was as per the constitution of the Association," Malhotra said in a statement.