Combine coconut milk, coconut cream, and sugar in a bowl. Stir well until the sugar dissolves completely.
Add 1 teaspoon vanilla extract and stir until the vanilla is fully mixed, blending the flavor evenly throughout.
Whisk the mixture for 2-3 minutes until smooth and combined, ensuring a creamy consistency for freezing.
Pour the mixture into a freezer-safe container. Cover tightly to prevent ice crystals from forming while freezing.
Place the container in the freezer for 4-6 hours. Stir once every hour to break up ice crystals.
After 4-6 hours, the ice cream should be creamy and soft. Let it soften slightly at room temperature.
Scoop into bowls or cones. Serve immediately and enjoy this creamy, homemade coconut ice cream!