That's why he's "raising her feminist".
In a new essay for MarieClaire.com, Trudeau talks about how he and wife Sophie try to "nurture empathy, compassion, self-love, and a keen sense of justice" in their three children, daughter Ella Grace, 8, and sons Xavier, 9, and Hadrien, 3.
The essay was published on October 11 to mark the International Day of the Girl. "But some of the most important work I do is not as a political leader, but as a parent".
"I am in politics because every day, I get to work to make the world a little better - for my kids, and for yours", the father of 10-year-old Xavier, eight-year-old Ella-Grace, and three-year-old Hadrien wrote.
Trudeau, who notably appointed a Cabinet with an equal number of men and women, says he tries to do his part to level the playing field for women.
"It is maddening to me that my brilliant, compassionate daughter will grow up in a world where, despite everything she is as a person, there will still be people who won't take her voice seriously, who will write her off-simply because of her gender", he writes. During a conversation about teaching their daughter that she can be anything she wants to be, his wife, Sophie Grégoire-Trudeau, said, "That's great - but how are you raising your sons to be strong advocates for women and girls, too?'"
Feminism, he writes, is not just believing that men and women are equal."It's the knowledge that when we are all equal, all of us are more free".
Mr Trudeau writes: "I was talking about teaching Ella that she can be anything she wants to be".
"It's 2017, yet in Canada and around the world, women and girls still face violence, discrimination, stereotypes that limit them and unequal opportunities that keep them from achieving their dreams", he wrote.
Men need to be raised to be feminists as much as women because "our sons have the power and the responsibility to change our culture of sexism", he adds. "I want them to be comfortable being themselves, and being feminists - who stand up for what's right, and who can look themselves in the eye with pride", he writes.
At the end of the powerful essay, Trudeau explains how feminism will also teach his children to treat everyone around them with "respect and recognition", ultimately contributing to a better world.