The new look bottle is slimmer than the original with a longer, narrower neck and the words "distilled in tall slender stills" have been engraved around the bottom.
A spokesman said: "Glen Grant is distilled in narrow stills which refines the spirit by repeated distillation, in turn producing a more lightly coloured whisky. This inspired the new design with Campari wanting a sleek, fresh bottle that was easy on the eye."
Campari, which acquired Glen Grant in 2006, commissioned Essex-based O-I to design the bottle. Colin Mason, spirits manager at O-I, added: "Glen Grant is renowned for its clear colour and pure taste; we believe the clean, crisp bottle design reflects these values and also helps it stand out on the shelf."