The Belgian FA wants a "strong and open communicator" who has a "proven track record in transmitting tactical and strategic knowledge" to top players.
The "desired profile" lists "experience and results in the fast-changing world of football".
Marc Wilmots left as manager after the Euro 2016 3-1 quarter-final defeat by Wales following four years in charge.
The deadline for applications is 31 July.
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The vacant Belgium head coach's job has been advertised online by the Belgian Football Association.