Cats form close emotional relationships with humans, yet little is known about this. This study characterized different types of relationship that cats might establish with their owners. Data were analyzed from 3994 responses to a questionnaire developed using expressions of social support and attachment in relation to everyday cat–owner interactions. Principal component analysis reduced the items to four factors: the “owner’s emotional investment in the cat”, “cat’s acceptance of others”, “cat’s need for owner proximity” and “cat’s aloofness”. Cluster identified three groups of owners with two of these each sub-divided into two. The “open relationship bond” was characterized by a lightly emotionally invested owner and an avoidant cat. The “remote association” and “casual relationship” were characterized by an emotionally remote owner but differed in the cat’s acceptance of others. The “co-dependent” and “friendship” relationship were characterized by an emotionally invested owner but differed in the cat’s acceptance of others and need to maintain owner proximity. In conclusion, as with any complex social relationship, the type of cat–owner bond that develops is the product of the dynamic that exists between both the individuals involved, along with certain personality features, of which, the wider sociability of the cat and owner expectations may be particularly important.