The claustrum is a small subcortical structure with widespread connections with disparate regions of the cortex. These far-reaching projections have led to many hypotheses concerning its function. However, we know little about how claustrum input affects neural activity in cortex, particularly beyond frontal areas. Here, using optogenetics and multi-regional Neuropixels recordings from over 15,000 neurons in awake mice, we demonstrate that the effect of claustrum input differs depending on brain area, layer, and cell type. Brief claustrum stimulation produces approximately 1 spike per claustrum neuron, which affects many fast-spiking (FS; putative inhibitory) but very few regular-spiking (RS; putative excitatory) cortical neurons. Prolonged claustrum stimulation affects many more cortical FS and RS neurons. More inhibition occurs in frontal regions and deeper layers, while more excitation occurs in posterior regions and superficial layers. These differences imply that the function of claustrum input to cortex depends on the area, supporting the idea that claustro-cortical circuits are organized into functional modules.