He will take over in October replacing Ken Wood who is retiring after seven years in the role.
Turrell joins from Kimberley-Clark, where he is president of the European consumer business.
He has also held a number of senior marketing and management roles across different categories within the business and GlaxoSmithKline.
At Weetabix, Turrell will steer a “dynamic programme of marketing activity and product innovation” designed to strengthen the brand’s position.
Turrell says: “Weetabix is a robust and innovative business with a great portfolio of brands in a dynamic category.
For more examples of marketers that have climbed the corporate ladder to become CEO read our cover feature, which sees six chief executives outline the five steps that marketers should follow to make it to the top.