Its shares have risen more than 70% since the start of the year.
Due to high demands, some customers will not receive their new handsets until October.
“The customer response has been phenomenal,” said Philip Schiller from Apple.
The new model, launched in San Francisco last week, is taller, lighter and 4G enabled and emerges as the fastest selling Apple product.
Some analysts estimate that Apple could sell up to 10 million iPhone 5s by the end of the month, and 50-60 million by the end of the year.