In a food processor or blender, combine strawberries, yogurt, honey, and vanilla extract and blend 3 to 5 minutes until smooth.
Pour mixture into a airtight container and freeze for at least 2 hours before serving.
Notes
To get the best taste and creaminess, I recommend using full fat yogurt. You can use Low fat but the frozen yogurt won't be as creamy. I don't recommend using nonfat yogurt.