The 24-year-old - who identifies as non-binary - scooped victory for Switzerland in the song contest final in Malmo with their song The Code.
After being handed the glass prize, Nemo put it down to wave to the audience and it toppled over and broke.
At a press conference after the final, Nemo was asked "did you actually break it".
"I didn't just break The Code, I also broke the trophy - I also broke my thumb," they said.
"But I got a new (trophy) - I technically have two now."
Nemo - who identifies as non-binary - scooped victory for Switzerland at Eurovision. (AP PHOTO)
Nemo said they were "really grateful" to have performed in the competition and praised the diversity of the line-up.
"I'm mostly just really grateful for this experience and all the friends I've made along the way," Nemo said.
"This was one of the most queer representations we've seen at Eurovision, which was amazing.
"I want to shout out all the other queer artists this year."
Nemo called for more openness between people.
"We need to talk with each other and I hope tonight can be a way of remembering that," they said.
The Code was written when Nemo went to a songwriting camp - originally expecting to write for other people - and was asked to represent Switzerland themselves.
"(Performing) a song where I speak about my story, having touched so many people and maybe inspired people to stay true to themselves, is the most insane thing that has ever happened to me."
Nemo scored 591 points, comfortably securing victory ahead of second-placed Baby Lasagna for Croatia, whose track Rim Tim Tagi Dim - which centres on the issue of young Croatians leaving the country in search of a better life - scored 547.
Ukraine, France and Israel rounded out the top five.
UK entrant Olly Alexander failed to threaten the table-toppers, earning just 46 from the juries and zero points in the public vote for Dizzy.
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