The 25-year old German attacking midfielder has signed a deal with the Belgian club until the end of the season.
Marin has struggled to force his way into Chelsea's first team since his £7million 2012 move from Werder Bremen and has subsequently been loaned out for a third spell since his Stamford Bridge arrival.
The 16-time Germany international, who has made a total of 16 appearances for the Blues, spent last season with Spanish club Sevilla before joining Italy's Fiorentina in the summer but will now suit up for Anderlecht who currently sit second on the Belgian Pro League table.
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