The invitation came after the Presidential assent to the Union Cabinet's recommendation to revoke the central rule was received late last night, Principal Secretary to the Governor, N N Sinha told PTI here.
Soren will take oath at 9.30 AM at the Birsa Mandap situated in the premises of the Raj Bhavan.
Congress Legislature Party leader Rajendra Prasad Singh and RJD Legislature Party leader Annapurna Devi will also take oath as ministers, official sources said.
The Governor invited Soren after the latter staked claim on July 9 to form a government in alliance with Congress, Rashtriya Janata Dal, smaller parties and independent MLAs.
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The alternative coalition comes nearly six months after the imposition of the President's rule.
The central rule was imposed on January 18 after the JMM withdrew support to the BJP-led government under Arjun Munda on January 8.
The JMM had extended support to the BJP on September 11, 2010, ending the President's rule then. The central rule was imposed after the BJP had pulled out from the Shibu-Soren led alliance on May 24, 2010, as JMM chief had voted along with the UPA in a cut motion in Lok Sabha that year.