The word “psychotherapy” commonly evokes the image of the classic psychoanalyst coolly taking notes behind a patient laying on the couch free-associating about their childhood. Until recently this was a dominant form of psychotherapy. Any therapy primarily concerned with how significant past events/relationships play in the present is considered a “dynamic” therapy.
In general, cognitive therapists are more active/directive, and the therapy more present focused, striving for measurable progress in the short-term.
Though my primary mode of work is cognitive, I see the forms as complimentary. Dynamics are always present, at play, to be noted, and attended to.