The brewer will allow customers to decide how much they want to pay for beer and food between 3 and 9 June.
As part of the scheme, dubbed "Honest To Dog", anyone underpaying will have to fill in a feedback card to explain why they are paying less than the full bill and all the feedback will be published online once the initiative has finished.
In Scotland the bars will only be able to accept money that complies with the minimum alcohol pricing legislation.
Any overpayments will be split 50/50 between the staff of the bar and the BrewDog Foundation (the brewery's charitable foundation).
But there is a catch - the scheme is only available to "equity punks" – BrewDog's 106,000 crowdfunder investors.
"With BrewDog being a community owned business, it's important for us to know what customers think of our products," said James Watt, BrewDog co-founder.
"With the Honest to Dog initiative we want to show our commitment to our Equity Punks by putting them in the driver's seat, so they can tell us what they think our products are worth and most importantly, why."