Mick Schumacher, second in the German kart championship last season, will drive for Van Amersfoort Racing.
"We have watched his skills in test driving and are looking forward to a successful season," said the Dutch team's owner, Frits van Amersfoort.
Michael Schumacher is continuing his rehabilitation following a serious skiing accident in December 2013.
The German, who spent nine months in hospital after suffering life-threatening head injuries, is the most successful driver in Formula 1 history with seven titles between 1994 and 2004.
His son begins his Formula 4 career in Germany on 25 April.