The company said on Tuesday that it filed an application for a judicial review with the Federal Court in Vancouver on December 5, which seeks to set aside the order for TikTok to wind-up and cease its business in Canada.
The Canadian federal government last month announced it was ordering the dissolution of TikTok Technology Canada Inc after a national security review of its Chinese parent company ByteDance Ltd.
The government is not blocking access to the TikTok app, which will continue to be available to Canadians.
TikTok said it has 14 million users in Canada, which is about a third of the population.
It has offices in Toronto and Vancouver.
The wildly popular platform is owned by ByteDance, a Chinese company that moved its headquarters to Singapore in 2020, but is under increasing pressure around the world.
It is facing a possible ban in the United States and intensifying scrutiny in European countries over issues including election influence campaigns allegedly co-ordinated by Russia.
TikTok argues in its court application, which was posted online, that Industry Minister François-Philippe Champagne's decision was "unreasonable" and "driven by improper purposes".
It says the order is "grossly disproportionate" and the the national security review was "procedurally unfair".
The review was carried out through the Investment Canada Act, which allows the government to investigate foreign investment with potential to harm security.
Champagne said in a statement at the time that the government was taking action to address "specific national security risks" but did not elaborate.
His office said in response to the filling that the government's decision was informed by a "thorough national security review and advice from Canada's security and intelligence community".
TikTok said Champagne "failed to engage with TikTok Canada on the purported substance of the concerns" that led to the order.
It argues the government ordered "measures that bear no rational connection to the national security risks it identifies" and that the reasons for the order "are unintelligible, fail to reveal a rational chain of analysis and are rife with logical fallacies".
The platform says there were "less onerous" options than shutting down its Canadian business, which it said would eliminate hundreds of jobs, threaten business contracts and "cause the destruction of significant economic opportunities".
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