LONDON, Ontario, June 12 (Reuters) - Several hundred mourners joined a public funeral service on Saturday of a Canadian Muslim family run over and killed by a man in a pick-up truck last Sunday in an attack the police said was driven by hate.

The four victims, spanning three generations, were killed when Nathaniel Veltman, 20, ran into them while they were out for an evening walk near their home in London, Ontario. A fifth family member, a 9-year-old boy, is recovering from his injuries in the hospital.

Police have said the attack was premeditated and allege the family was targeted because of their Islamic faith.

The hour-long ceremony started after the four coffins draped in Canadian flags rolled into the compound of the Islamic Centre of Southwest Ontario, and ended with prayers and condolences offered by religious and community leaders.

The funeral procession later proceeded for a private burial.

"And the very fact their coffins are draped in the beautiful Canadian flag is an apt testimony of the fact that the entire Canadian nation stands with them," Raza Bashir Tarar High Commissioner for Pakistan to Canada told the gathering.

The family moved to Canada from Pakistan some 14 years ago.

The attack sparked outrage across Canada, with politicians from all sides condemning the crime, spurring growing calls to take action to curb hate crime and Islamophobia. The city of London, 200 km (120 miles) southwest of Toronto, has seen an outpouring of support in the aftermath of the attack.

Veltman, who returns to court on Monday, faces four charges of first-degree murder and one of attempted murder.

Canadian Prime Minister Justin Trudeau has called the killings a "terrorist attack" and vowed to clamp down on far-right groups and online hate.

"I think we're emotionally exhausted," Imam Aarij Anwer told the Canadian Broadcasting Corp before the ceremony. "We're looking forward to having some closure on Saturday." (Reporting by Carlos Osorio in London Writing by Denny Thomas Editing by Chizu Nomiyama)