The three-year-old cat will be immortalised in wax after her "animatronic with five different movements" is unveiled at the San Francisco museum later this year.
The Grumpy Cat statue will also make stops at five other cities across the US, 'CNET' reported.
The wax figure will reportedly purr, close her eyes and fall asleep.
A video, posted to YouTube, shows how Tardar Sauce aka Grumpy Cat sat, stood and stared as the Madame Tussauds team measured her for the creation of the museum's "first animatronic cat."
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Grumpy Cat is one of the most successful animal stars on internet, with nearly 300,000 Twitter followers.
She shot to stardom when her photo was posted on Reddit on September 22, 2012.
According to the owner, Tabatha Bundesen, in Arizona, the cat's permanently grumpy-looking face is due to an underbite and feline dwarfism.