Combine pineapple, orange peel, orange pulp and sugar in a large sauce pot.
Bring slowly to a boil, stirring until sugar dissolves.
Cook rapidly 15 minutes.
Add strawberries and continue cooking rapidly until thick, about 20 to 30 minutes.
As mixture thickens, stir frequently to prevent sticking.
Pour hot into hot jars, leaving 1/4-inch head space.
Process 10 minutes in boiling water bath.