The swearing-in ceremony will take place at Lal Parade Ground around 1:30 PM, Mr Nath said.
Mr Nath, along with senior Congress leaders, including Digvijay Singh, Vivek Tankha and others met Governor Anandiben Patel and informed her about his election as Congress Legislature Party leader, following which the governor invited him for the oath.
The meeting lasted for nearly 50 minutes.
The Congress has won 114 seats in the 230-member House, the poll results of which were declared on December 11.
It has secured support of a total of 121 MLAs, including SP - 1 and BSP - 2 legislators as also of four independents, to cross the majority mark of 116 seats.
The party Thursday night named Mr Nath as Madhya Pradesh's next chief minister after hours of hectic parleys held by party chief Rahul Gandhi with senior party leaders.
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