The invitation came from Ethiopian Prime Minister Hailemariam Desalegn, chairman of the seven-member Intergovernmental Authority on Development (IGAD), an East African bloc mediating the South Sudanese conflict.
Bashir "will head Sudan's delegation at the IGAD summit," SUNA reported.
"The summit will discuss the crisis in South Sudan."
It will be Bashir's second peace mission to the southern capital Juba since fighting began in mid-December.
Britain last week commended the "balanced role" Khartoum has played in support of the IGAD-led talks.
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African Union Commission chief Nkosazana Dlamini-Zuma today flew to Juba to meet Kiir in a bid to help broker a peace deal.
The South became independent from Khartoum in 2011 under an agreement that ended a 22-year civil war.
But tensions continued and the two countries fought periodic border clashes in 2012.
Disputes over oil fees and Khartoum's accusations that Juba supported rebels on northern soil strained relations until a September summit between Kiir and Bashir.