India had approached the ICJ against the death sentence handed down to Jadhav by Pakistan's Field General Court Martial last month.
Pakistan on Wednesday said that India's letter to the International Court of Justice was New Delhi's attempt to divert attention from "state sponsored terrorism" in Pakistan.
The reaction from Pakistan came after the Hague-based International Court of Justice (ICJ) stayed the hanging of Jadhav, who has been sentenced to death by a military court in Pakistan on charges of "spying".
"Indian letter to ICJ attempt to divert attention frm state sponsored terrorism in Pak. Kulbushan convicted of offences against Nat security," said Pakistan Defence Minister Khawaja M. Asif.
Other Pakistani officials on Wednesday kept mum over the International Court of Justice's stay over the execution of Indian citizen Kulbhushan Jadhav
Meanwhile, the local media, which was initially slow to respond, rejected India's claim.
Geo TV said that the ICJ has no jurisdiction over Pakistan as it can only take cognizance of the matter with the consent of the parties.
Dawn online did not report about the stay order. Similarly, The Express Tribune in its report on the issue has not reported about the stay order.
Jadhav, 46, was awarded the death sentence by a Field General Court Martial last month. India moved the ICJ against Pakistan, accusing the latter of violating the Vienna Convention in the case of Jadhav.
India, in its appeal, contended that it was not informed of Jadhav's detention until long after his arrest and that Pakistan failed to inform the accused of his rights.
In New Delhi, External Affairs Minister Sushma Swaraj on Tuesday said that she spoke to the mother of Jadhav and told her about the order of President, ICJ under Article 74 Paragraph 4 of Rules of Court."
Pakistan claims its security forces had arrested Jadhav from the restive Balochistan province on March 3 last year after he reportedly entered from Iran. It also claimed that he was "a serving officer in the Indian Navy." Jadhav was sentenced to death for "espionage and subversive activities".
India acknowledges that Jadhav had previously served with the Navy but denies that he has any connection with the government. It also said that Jadhav was kidnapped from Iran.
India has also handed over to Pakistan an appeal by Jadhav's mother, initiating a process to get his conviction overturned.
(With agency inputs)
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