Pakistan Broadcasting Corporation (PBC) is planning to broadcast these speeches, delivered June 3 and Aug 11, 1947, after checking the quality and authenticity some time next week, local media reported.
The AIR handed over the recordings to the Pakistan high commission in New Delhi after four years of efforts by the PBC.
The Daily Times quoted sources in Radio Pakistan and PBC as saying that India has also agreed to hand over more recorded material of Jinnah.
PBC is planning to broadcast these speeches after checking the authenticity.
The June 3, 1947, speech was Jinnah's reaction to a British plan for a referendum on whether the the North West Frontier Province (now Khyber Pakhtunkhwa) should be included in Pakistan or India.
The Aug 11, 1947, speech has Jinnah, as the founder of Pakistan, declaring the country as a secular state while addressing Pakistan's constituent assembly.