CMA CGM is merging its short-sea line MacAndrews into the newly acquired Containerships operation.
The French boxship giant said the brand would disappear on 1 April, with the Containerships name surviving.
It bought Finland's Containerships last year.
The aim is to create a leading intra-European carrier, unlocking "major synergies" along the way.
MacAndrews was taken over in 2002 and merged with another CMA CGM short-sea operation, OPDR, last year.