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Put oven rack in middle position and preheat oven to 350 degrees F.
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Line a 9-inch square baking pan with foil.
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Beat together butter, peanut butter, and brown sugar in a large bowl with an electric mixer at medium speed until fluffy, about 2 minutes.
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Add eggs and beat until combined.
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Mix in flour and salt at low speed until a dough forms.
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Reserve 1 cup dough for topping.
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Press remaining dough evenly in bottom of baking pan.
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Spread jelly in an even layer on top of dough, then coarsley crumble reserved dough over jelly layer.
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Bake until top is golden, 30 to 35 minutes.
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Cool completely in pan on a rack, about 45 minutes, then cut into bars.