Apple [AAPL  699.781  sold two million iPhone 5s in the first 24 hours the new smartphone was available for pre-order, the company said on Monday.

Pre-orders for the latest iPhone are more than double the number of the iPhone 4S, which hit the one million mark in 24 hours last year.

Demand for the iPhone 5 surpassed Apple's immediate supply of the new smartphone, which is scheduled to ship Sept. 21, causing some customers' orders to be pushed back a week, the company said. (Read More: iPhone 5 Shipping Date Slips, Apple Seen Swamped )

AT&T said Monday they also had record iPhone sales within the first 24 hours, although the company did not disclose how many they sold.

Apple set a record last year when it sold more than four million of its iPhone 4S during the first three days it was available in stores, but analysts have higher expectations for Apple's iPhone 5, expecting it to break the four million mark during its opening weekend.