Police in Ottawa say shots also were fired near a shopping mall close to Parliament.
Ottawa police Constable Marc Soucy said Wednesday there have been shots fired at three places in the Canadian capital: at the National War Memorial, where a soldier was wounded, on Parliament Hill and near the Rideau Centre Mall.
All three sites are within less than a mile from each other.
He said it started at the war memorial and that it is still unclear whether there is more than one shooter. No arrests have been made.
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"Most of downtown Ottawa is in lockdown," Soucy said.
The shooting came two days after a recent convert to Islam killed one Canadian soldier and injured another in a hit-and-run before being gunned down by police.