Combine the diced peaches, honey and sugar over a medium flame and stir until the sugar dissolves.
Then, bring the mix to a boil, reduce flame and mash with a potato masher. Repeat this step twice.
Reduce the flame to a simmer and add in the lemon juice. Then let simmer for 1 hour, mashing several more times as desired and stirring occasionally.
Once the peaches have been reduced and the time is up, turn off the heat and remove the pan from the burner. Let cool one hour. The jam will thicken as it cools.
Once cool enough, add it to the jelly jars and seal with an airtight lid. Refrigerate. They will remain good for 2-3 months as long as the jar hasn't been opened.