Enzymes catalyze reactions under mild conditions that might otherwise require extreme conditions such as high temperature or strong acid or base. To achieve this, amino acid side chains that are weak Brønsted acids or bases in the free amino acid become strong acids and bases in the active sites of many enzymes. Here we report on a set of 30 enzymes that represent all six major EC classes and a variety of different folds for which experimental studies of the mechanistic roles of the catalytic residues have been reported in the literature. Using macromolecular electrostatics techniques, it is shown that the catalytic aspartate and glutamate residues are strongly coupled to at least one other aspartate or glutamate residue, and often to multiple other carboxylate residues, with intrinsic pKa differences less than 1 pH unit. Sometimes these catalytic acidic residues are also coupled to a histidine residue, such that the intrinsic pKa of the acidic residue is higher than that of the histidine. Most catalytic lysine residues studied here are strongly coupled to tyrosine or cysteine residues, wherein the intrinsic pKa of the anion-forming residue is higher than that of the lysine. Some catalytic lysines are also coupled to other lysines with intrinsic pKa differences within 1 pH unit. Some general principles about the design of enzyme active sites are presented. These principles have significant implications for the engineering of novel enzymes. Supported by NSF CHE-1905214 (MJO).