In a food processor, cover and process cherries in batches until finely chopped. Transfer to a Dutch oven; stir in pectin and butter. Bring to a full rolling boil over high heat, stirring constantly. Stir in sugar; return to a full rolling boil. Boil and stir 1 minute.
Remove from heat; skim off foam. Ladle hot mixture into 6 hot sterilized half-pint jars, leaving 1/4-in. headspace. Remove air bubbles and adjust headspace, if necessary, by adding hot mixture. Wipe rims. Center lids on jars; screw on bands until fingertip tight.
Place jars into canner with simmering water, ensuring that they are completely covered with water. Bring to a boil; process for 5 minutes. Remove jars and cool.
Canning Altitude Jam-Jelly
The processing time listed is for altitudes of 1,000 feet or less. Add 1 minute to the processing time for each 1,000 feet of additional altitude.