A floating connector is provided with a plurality of contacts, at least one stub member and a movable housing. The movable housing has a first holding portion and a second holding portion. The first holding portion holds first held portions of the contacts, and the second holding portion holds a second held portion of the stub member. The at least one stub member corresponds to at least one of the contacts in one-to-one correspondence. A stub contact point is always pressed against a coupling portion of the contact corresponding to the stub member even when the movable housing is moved within a predetermined range.