Delegates and visitors will also be able to buy convention souvenirs with the Square device, the campaign said.
Mitt Romney is the presumptive Republican presidential nominee with a majority of the delegates to the Tampa convention pledged to him.
"Square-enabled phones and devices will be used throughout the 2012 Republican National Convention providing a quick and easy way for delegates and visitors to make donations and buy souvenirs with a simple swipe of their credit card on a mobile device," the campaign said.
The Obama campaign announced this week it can now accept contributions via mobile phone.
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