In a heatproof bowl, combine the dates and water, then set aside for 1 hour to allow the dates to soften.
Transfer the dates and the soaking water to a high-powered blender. Add the lemon juice and process until smooth. If the mixture is too thick, add more water, 1 tablespoon at a time, until it reaches the desired consistency.
Transfer to a glass jar or other container with a tight-fitting lid. Store the syrup in the refrigerator for 2 to 3 weeks or portion and freeze it for up to 3 months.