In a medium saucepan, combine water and butter over medium heat until the butter is melted.
Once boiling, remove from heat and stir in flour, salt, and cinnamon until the mixture forms a ball.
Allow the dough to cool for a few minutes before adding the pumpkin puree and eggs one at a time, mixing well after each addition.
Heat oil in a deep pan to 375°F (190°C).
Transfer the dough to a piping bag fitted with a star tip.
Pipe 4 to 6-inch strips into the hot oil, cutting them with scissors.
Fry until golden brown, about 2-3 minutes on each side.
Remove from oil and drain on paper towels.
Combine sugar and cinnamon in a bowl, then toss the churros in the mixture while still warm.