San Francisco-based DoorDash will pay 180 pence ($A3.70) for each Deliveroo share, 29 per cent more than the closing price on April 24, the day before the offer was announced, the companies said before the London Stock Exchange opened for trading on Tuesday.
The deal is DoorDash's second major international acquisition in three years as the company expands from its traditional base in the US, Canada and Australia.
After the purchase of Deliveroo, and the 2022 acquisition of Helsinki-based Wolt Enterprises, DoorDash will operate in more than 40 markets worldwide.
"I could not be more excited by the prospect of what DoorDash and Deliveroo will be able to accomplish together," DoorDash CEO Tony Xu said in the statement.
Both companies were founded in 2013, using the then emerging technology of smartphones to link restaurants and their customers to a network of delivery riders.
Deliveroo operates in nine countries, including the UK and Ireland, which accounted for 59 per cent of its business in 2023.
It also does business in France, Italy, Belgium, Singapore, the United Arab Emirates, Kuwait and Qatar.
The acquisition comes less than three months after technology investment company Prosus agreed to buy Amsterdam-based Just Eat Takeaway.com for 4.1 billion euros ($A7.1 billion), boosting its food delivery portfolio in Europe.
