After successfully trialling the card readers with clients such as youth fashion retailer Missguided.com, he said that the firm wants to “push its offline proposition” to other clients.
The move will put Stripe into competition with giants such as WorldPay, Verifone and Global Payments.
Stripe was originally founded to help eBay users and small online firms accept payments easily, from customers anywhere in the world, but it has grown rapidly and in the UK its clients include the likes of Tesco and John Lewis.
McDougall said that the firm had so far seen no signs of an exodus of financial technology (fintech) firms or talent following the Brexit referendum.
He added that the £3billion in capital raised by London-based fintech firms from investors in 2017 was proof that the sector is in rude health.
He said: “We’ve seen no signs of a mass exodus and the amount of investment raised is indicative of no negative impact. We’re planning for a post-Brexit world and see it as business as usual. We continue to invest.”