Place basil, parsley, almonds and garlic in a small food processor; pulse until chopped. Add lemon zest, juice, honey and salt; process until blended. Continue processing while gradually adding oil in a steady stream. Add cheese; pulse just until blended.
Store in an airtight container in the refrigerator for up to 1 week. Freeze option: Transfer pesto to ice cube trays; cover and freeze pesto until firm. Remove from trays and transfer to a resealable plastic freezer bag; return to freezer. To use, thaw cubes in refrigerator 2 hours.
To toast nuts, bake in a shallow pan in a 350° oven for 5-10 minutes or cook in a skillet over low heat until lightly browned, stirring occasionally.