Glycogen phosphorylase from swine adipose tissue was purified nearly 700-fold using ethanol precipitation, DEAE-cellulose adsorption, AMP-agarose affinity chromatography, and agarose gel filtration. The purified enzyme migrated as one major and several minor components during polyacrylamide gel electrophoresis. Activity was associated with the major component and at least one of the minor components. The molecular weight of the disaggregated, reduced, and alkylated enzyme, estimated by polyacrylamide gel electrophoresis performed in the presence of sodium dodecyl sulfate, was 90,000. Stability of the purified enzyme was considerably increased in the presence of AMP. The isoelectric pH of the enzyme in crude homogenates was 6.3. The sedimentation coefficient of the purified enzyme (7.9 S) and that in crude homogenates (7.3 S) was determined by sucrose density gradient sedimentation. Optimal pH for activity was between pH 6.5 and 7.1. Apparent Km values for glycogen and inorganic phosphate were 0.9 mg/ml and 6.6 mM, respectively. The Ka for AMP was 0.21 mM. Enzyme activity was increased by K2SO4, KF, KCl, and MgCl2 and decreased by NaCl, Na2SO4, D-glucose, and ATP. Inhibition by glucose was noncompetitive with the activator AMP; inhibition by ATP was partially competitive with AMP. The purified enzyme was activated by incubation with skeletal muscle phosphorylase kinase. Enzyme in crude homogenates was activated by the addition of MgCl2 and ATP; activation was not blocked by addition of protein kinase inhibitor, suggesting that phosphorylase kinase in homogenates of swine adipose tissue is present largely in an activated form. Deactivation of phosphorylase a by phosphorylase phosphatase was studied using enzyme purified approximately 200-fold from swine adipose tissue by ethanol precipitation, DEAE-cellulose chromatography, and gel filtration. The Km of the adipose tissue phosphatase for skeletal muscle phosphorylase a was 6 muM. The purified swine adipose tissue phosphorylase, labeled with 32-P, was inactivated and dephosphorylated by the adipose tissue phosphatase. Dephosphorylation of both skeletal muscle and adipose tissue substrates was inhibited by AMP and glucose reversed this inhibition. Several lines of evidence suggest that AMP inhibition was due to an action on the substrate rather than on the enzyme. We have previously reported that the system for phosphorylase activation in rat fat cells differs in some important characteristics from that in skeletal muscle. However, both swine fat phosphorylase and phosphorylase phosphatase have major properties very similar to those described for the enzymes from skeletal muscle.