A system, module and method for continuous or batch single-pass countercurrent tangential chromatography are disclosed for bind/elute and negative chromatography applications. The system includes binding, washing, elution (for bind/elute), regeneration, and equilibration single-pass modules. The resin slurry flows in a continuous single pass at steady-state through each module, while corresponding buffers flow countercurrent to the slurry facilitating efficient product and impurity extraction. The module and system include retentate pumps for better process robustness and control. A resin tank configured to be reversibly isolated from the single-pass modules facilitates a closed and disposable system. The method includes receiving unpurified product solution and resin slurry, isolating the resin tank, binding product (bind/elute) or impurities (negative) to the resin slurry, washing impurities from the resin slurry, eluting and capturing pure product from the resin slurry (bind/elute), regenerating the resin slurry following elution, and providing buffer solutions to all of the single-pass steps.