Company shares rose 24% in Q1 as nearly 4bn chips were sold.
ARM profits for the first quarter of 2015 registered a 24% rise in profit before tax ($179.1 million) thanks to demand from iPhone 6.
The company said its royalties would grow as its latest technology is used in more smartphones.
The firm’s shares rose to an all-time high of 1,233 pence.
ARM revealed royalty revenue rose 26 percent on an underlying basis, collected a quarter in arrears from a record 3.8 billion chips shipped.
Total revenue increased 14% from $305.2 million in Q1 2014 to $348.2 million in this year’s first quarter.
Tim Score, Chief Financial Officer for ARM said: "In the second half of 2015 we expect to benefit from the increasing deployment of ARMv8-A technology, our latest generation of processors, in the newest smartphones and tablets.
"These chips typically have a slightly higher royalty rate than the previous generation."
Simon Segars, ARM’s Chief Executive Officer, said: "As the world becomes more digital and more connected, we continue to see an increase in the demand for ARM’s smart and energy-efficient technology, which is driving both our licensing and royalty revenues."