The report said that the New York City-based burger chain's majority owners have been interviewing investment banks in recent weeks.
Reuters said Shake Shack's earnings are supposed to be around $20 million next year.
Shake Shack's IPO would come as fast-casual restaurants like Red Robin have been under pressure, while shares of Mexican fast food chain Chipotle have been among the market's best performing stocks.
Read the whole report from Reuters here.