"We have been cooperating with the United Kingdom government not only in law enforcement kind of matters but on some of the attacks", Cook said during a Bloomberg Television interview on Monday.
Cook added that while he could not give further details, Apple provided the information promptly once the lawful process is followed. That would both protect privacy but also help solve the hard puzzle of terror attacks. A group of terrorists on the evening of June 3 swerved a van into people on London Bridge, then went on a stabbing spree using knives.
May confirmed the attack wasn't connected to the suicide bombing in Manchester a fortnight ago and the atrocity at Westminster in March.
Cook did not specify which attacks required Apple's assistance.
Cook also added that he believed Apple was able to provide authorities with "some valuable information".
The company was also involved in a stand-off with the Federal Bureau of Investigation a year ago over gaining access to the locked iPhone of a terror suspect.
The environment wasn't the only political difference with Trump that Cook expressed during the interview. "It doesn't mean no information".
"Between what's available today and what's coming later this year, Apple now has a much more polished and powerful lineup of Macs for creative professionals including those who work on heavy duty content like 3D renders and VR", Dawson said in comments provided to TheStreet.
"It wasn't about not wanting to advise on something where I thought that we could help or we had a point of view that should be heard", Cook said. "He didn't decide what I wanted him to decide", Cook told Bloomberg's Emily Chang on Monday. Nonetheless, his interview also touched on President Donald Trump's latest decision of removing the USA from the Paris climate accord, which Cook said was not in the best interest of the nation.