In a Dutch oven, combine the berries, lemon juice, zest and pectin. Bring to a full rolling boil over high heat, stirring constantly. Stir in sugar; return to a full rolling boil. Boil for 1 minute, stirring constantly.
Remove from the heat; skim off any foam. Carefully ladle hot mixture into hot half-pint jars, leaving 1/4-in. headspace. Remove air bubbles; wipe rims and adjust lids. Process for 10 minutes in a boiling-water canner.