Apple sold 74.5 million iPhones between October to December 2014, smashing its previous record by a colossal 46%.
During the same quarter in 2013, Apple shifted a then-record 51 million iPhones. The latest figures also represent a rise on the traditionally slow July to September period, when Apple sold just over 39 million iPhones.
Sales have been driven by Apple’s introduction of larger models.
The iPhone 6 and iPhone 6 Plus feature screens which are significantly bigger than previous editions.
The cheaper iPhone 5C is also thought to have fuelled growth, overcoming a slow start and winning the hearts and minds of more cost-conscious consumers.
During a conference call after the release of the results, Apple CEO Tim Cook would not be drawn on the exact breakdown of sales of each model.
However, he did say the iPhone 6 was the most popular and that the last three months of 2014 saw more new iPhone customers than ever before.
People switching from Android was also at its highest level in three years, he claimed.
The record sales helped Apple to make a net profit of $18 billion (£12 billion), on revenue of $74.6 billion (£49 billion).
That represents the largest quarterly profit in global corporate history and shows that Apple is unquestionably the dominant player in modern consumer electronics.
It’s not all good news, however. Apple reported a marked decline in iPad sales, despite releasing the iPad Air 2 and rejigging its iPad mini range in the run up to Christmas.
It sold 21.4 million iPads from October to December, a drop from 26 million in the same quarter a year ago.