Combine chopped peaches, sugar, and 2 cups of water in a saucepan. Bring to a boil, then reduce heat and simmer for 10 minutes until the peaches soften.

Use an immersion blender to puree the peach mixture until smooth. Alternatively, transfer it to a regular blender and blend until smooth.

Pour the puree through a fine-mesh strainer to separate the juice from the pulp. Press to extract as much juice as possible. Let the juice cool completely.