Thorsten Heins made the comment on the eve of the much-delayed launch of the new touchscreen BlackBerry in the US.
Apple's iPhone is outdated, according to the chief executive of BlackBerry-maker Research In Motion.
AT&T begins selling the Z10 touchscreen BlackBerry, more than six weeks after RIM launched the devices elsewhere.
Mr Heins also said that a new keyboard version of the BlackBerry will not be released in the US until two or three months from now.
Both the touchscreen and keyboard models are part of RIM's attempt at a comeback after the pioneering brand lost its cachet not long after Apple's 2007 release of the iPhone.
Mr Heins said a lack of innovation at Apple has left iPhone's user interface outdated. He noted iPhone users have to go in and out of applications and the device does not allow for multitasking like the new BlackBerry Z10 does.
"It's still the same," he said of the iPhone. "It is a sequential way to work and that's not what people want today anymore. They want multitasking."
RIM's new software allows users to have multiple applications open like on a desktop, he said, noting that with BlackBerry you do not have to close an application to check an email.
Mr Heins said the iPhone was revolutionary five years ago, but it is now "just kind of sitting there".
Apple spokeswoman Natalie Kerris declined to comment.