The suspect had a gunshot wound, authorities said, but they would not elaborate on the circumstances or cause of his death.
He was in the city's Greektown neighborhood when he opened fire on Danforth Avenue. His family said in a statement Monday that he suffered from severe mental health challenges, including depression and psychosis.
Hussain's family issued a statement saying they are "at a awful loss for words" but needed express their condolences to victims' families.
"We are utterly devastated by the incomprehensible news that our son was responsible for the senseless violence and loss of life that took place on the Danforth", the statement read. At this time, the identity of the suspect has not yet been released to the public, although police said that they quickly identified the suspect at the scene; officials are also said to be investigating the motive behind the shooting.
Toronto Police Chief Mark Saunders has said that those injured during the shooting range in age from 10 to 59, with injuries also ranging from minor to serious.
"Guns are too readily available to too many people", Mr Tory said.
"It could be victims who are directly impacted who were there, it could be the families of the injured, the families of the deceased, individuals working in the area, passing by, or people deeply impacted by just hearing about this", she said. Police asked witnesses or anyone with information to contact authorities.
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The gunman was killed four doors down from where Steinhauer and her family were hiding, she said.
Hussain was killed in a gunfight with police after his rampage through restaurants and cafes in the fashionable neighborhood, though it wasn't immediately clear whether he was killed by police bullets or committed suicide.
Witnesses of the latest attack described someone dressed in dark clothing walking down the street and shooting multiple people, CityNews Toronto reports.
Prime Minister Justin Trudeau wrote on Twitter on Monday: "The people of Toronto are strong, resilient and fearless - and we'll be there to support you through this hard time". She was 18 years old at the time of her passing.
"I know answering questions like this won't fully eliminate tragedies like this, but even if we can prevent one of these incidents, then in my view it is a discussion worth having and having very soon", he said.
It was the second deadly act of mass violence this year in Canada's most populous city.
Toronto mayor John Tory told CBC he believed the shooting was evidence of a wider gun problem in Toronto, adding the incident unfolded in a peaceful part of the city and that the community was in shock. Choking back tears, Toronto Councillor Mary Fragedakis said to the city council Monday morning, "This is so heartbreaking".
That bombing came just over a month after a driver plowed a van into a crowd of pedestrians on a busy Toronto street, killing 10 and injuring 15. Toronto has seen 23 gun-related homicides so far this year, compared to 16 in the first half of 2017.