RCMP Deputy Commissioner Mike Duheme said a bail hearing has been scheduled for Friday morning, and the accused will face multiple charges.
The RCMP said the National Division Emergency Response Team arrived shortly after 7 a.m. and Hurren was arrested "without any incident" and brought into police custody at about 8:30 a.m.
Hurren remains in custody in Ottawa following a brief court appearance by teleconference Friday.
"I want to make it very clear that there are many elements that I am not in a position to speak to, as the RCMP's investigation is ongoing", said Duheme. Neither was home at the time.
A man has been arrested after police were called to Rideau Hall early this morning.
He did not offer details about the man's possible motive, but said it is believed Hurren acted alone. The governor general, now Julie Payette, is the representative of Britain's Queen Elizabeth II as head of state, and holds a mostly ceremonial position.
The man's identity will not be released at this time, but officials say charges are pending.
"This was something that no one wants to hear, that someone entered your home", Trudeau said.
He did provide a minute-by-minute account of the incident, that began at 6:29 a.m. local time Thursday, when Hurren allegedly drove his truck through the Thomas Gate - a secondary entrance near the main gate to the grounds, wide enough to admit a vehicle but typically used by pedestrians.
Rideau Hall, located at 1 Sussex Drive in Ottawa, is the official residence of Canada's monarch or the monarch's official representative in Canada, the governor-general.
At 6:42 a.m., the man proceeded on foot to the greenhouse. The man was then spotted separately by RCMP security detail on the grounds.
Police rushed to the scene and the man surrendered peacefully.
Duheme said the Commissionaires noticed the suspect carrying what appeared to be a firearm, and notified the RCMP.
Then at 6:45 a.m. officers tried to engage him in a discussion but he didn't respond until nearly 10 minutes later.
He said the suspect was armed with a rifle, but did not give specifics.