The appointments followed an election earlier this month that was supposed to draw a line under the nine years of savage conflict between Hutus and Tutsis and the genocide of the Tutsis.
In the event members of Kagame's Tutsi-dominated Rwandan Patriotic Front (RPF) keep the top jobs.
Foreign Minister Charles Murigande, Finance Minister Donald Kaberuka and Local Administration, Rural Development and Social Affairs Minister Christophe Bazivamo, all RPF members, keep their posts.
The RPF won an outright majority of parliamentary seats in the elections.
General Marcel Gatsinzi stays on at the ministry of defence.
The outgoing Prime Minister, Bernard Makuza, a moderate Hutu with no party affiliation and limited power, was reappointed on October 11.
The principal change comes at the Justice Ministry where Jean deDieu Mucyo is replaced by the former secretary-general at the ministry Edda Mukabagwiza.
The new government includes, besides the premier, 17 ministers and 11 secretaries of state.
There are nine women.
In August Kagame said he would make "a little room" for opposition parties and the constitution adopted in May bans the majority party from taking more than half of ministerial posts.
But opposition parties have minor roles: Jean-Damasc
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