In a medium saucepan, heat the cream, milk, honey and lavender over medium-low heat until the mixture is steaming and just beginning to bubble around the edges.
Remove from heat and let steep for 30 minutes.
Strain the mixture through a fine-mesh sieve into a bowl.
Chill in the refrigerator for at least 4 hours or overnight.
Freeze in an ice cream maker according to manufacturer's instructions.
Transfer to an airtight container and freeze for at least 2 hours before serving.