The German designer, who was the creative director for Chanel and Fendi, was one of the industry’s most prolific figures, and worked up until his death.
Lagerfeld also designed collections for his own brand and collaborated with high street brand H&M.
The designer had been unwell for several weeks, and had missed a number of fashion shows.
Many fashion industry heavyweights have paid tribute to Lagerfeld, including Italian designer Donatella Versace, and designer Henry Holland who posted a tribute on social media, using one of Lagerfeld’s own quotes.
Caroline Rush, chief executive of the British Fashion Council, said: “We are deeply saddened to learn the news of Karl Lagerfeld’s passing today. His unrivalled contribution to the fashion industry changed the way women dress and perceive fashion. He inspired generations of young designers and will continue to do so.”