North Koreans earlier this month cast their ballots in a pre-determined election for the rubber-stamp parliament, which provides a glimpse into power shifts within the secretive regime.
"The 1st Session of the 13th Supreme People's Assembly of (North Korea) will be convened in Pyongyang on April 9," state media said.
It did not give details on the duration and agenda, but the North's parliament usually convenes for a single day.
Analysts say the changes may affect the powerful National Defence Commission chaired by Kim, in which Jang served as vice chairman. Several other elderly military leaders are also likely to be replaced.
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Before the meeting, the North is expected to convene a plenary session of the ruling party's decision-making Central Committee or the high-level Political Bureau, to fix key policies and put forward candidates for top posts behind closed doors.
"The parliament is likely to approve personnel changes within the National Defence Commission and government posts that have been made in the aftermath of Jang's execution," said Chang Yong-Seok from the Institute for Peace and Unification.
The results were a foregone conclusion, with 687 approved candidates elected unopposed in an exercise that doubles as a national head count, with all registered voters taking part except those who are abroad.
Like his father before him, Kim Jong-Un stood as a candidate -- in constituency number 111, Mount Paektu, a place given a divine status under official propaganda that says Kim Jong-Il was born on its slopes.
The last session in April 2013 adopted a special ordinance formalising the country's position as a nuclear weapons state -- a status that both South Korea and the United States have vowed not to recognise.