A faucet cartridge puller assembly operable to remove a broken defective primary valve cartridge assembly from a faucet valve assembly which is utilized on a kitchen faucet valve assembly, a bath/shower faucet valve assembly, or a bathroom sink faucet valve assembly, all being used in substantially identical manner. The faucet cartridge puller assembly includes 1) a cartridge removal tool assembly adapted to be mountable within a cartridge barrel opening of a damaged primary valve cartridge assembly; and 2) a cartridge removal bolt member mountable within the cartridge removal tool assembly to achieve final axial movement of a damaged primary valve cartridge assembly being removed for replacement. The cartridge removal tool assembly includes a main removal tool body having an intermediate body section with external tap threads operable to be rotated and create threads with the damaged primary valve cartridge assembly so as to pull same longitudinally from a main valve housing. The cartridge removal bolt member is operable to be mounted within a central opening in the cartridge removal tool assembly after it has been attached by mating threads with the primary valve cartridge assembly. The cartridge removal bolt member is rotatable within compatible threads in a lower outer body end section of the cartridge removal tool assembly. An outer abutment end of the cartridge removal bolt member is engageable with a bottom wall of the main valve housing of the faucet valve assembly to cause conjoint axial movement of the interconnected damaged primary valve cartridge assembly and the cartridge removal tool assembly. This causes a loosening of the binding conditions between the primary valve cartridge assembly and the main valve housing so that it can be removed for replacement with a new primary valve cartridge assembly.