In a blender or food processor, add the strawberries, basil and honey. Turn on high and blend until the mixture is smooth, about 1 minute. Pour the mixture into popsicle molds and place the wooden popsicle sticks in about 1/2 way down. Place in the freezer for at least 3 hours.
To remove the popsicles from the molds, run the popsicles under warm water for about 15 seconds.