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Pre heat oven to 350 degrees. Set rack in center of oven.
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Line a 9x13 pan with parchment paper or foil, grease lightly.
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Mix the butter, cocoa and sugar in an electric mixer until smooth. Add eggs, one at a time. beat until smooth.
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Add the flour, salt, vanilla and peanut butter chips to the bowl. Mix on low speed or fold in by hand with a spatula, just until the flour disappears. Do not beat.
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Spread the mixture into the prepared lined pan.
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Bake on center rack in oven for about 25-30 minutes or until top is set and a toothpick inserted in the center of the brownies comes out with a few moist crumbs attached.
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Remove from oven and let cool for a couple of minutes.
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Spread 1/2 cup of peanut butter on the top of the hot brownies with a spoon or butter knife.
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Place in refrigerator or on counter until the brownies cool completely.