Inclusion Criteria:

* Patients with relapsed or refractory Hodgkin lymphoma who have previously received autologous stem cell transplant.
* Histologically confirmed CD30-positive disease; tissue from the most recent post diagnostic biopsy of relapsed/refractory disease must be available for confirmation of CD30 expression via slides or tumor block.
* Fluorodeoxyglucose-avid disease by positron emission tomography and measurable disease of at least 1.5 cm as documented by spiral computed tomography.
* At US sites patients greater than or equal to 12 years of age may be enrolled. At non-US sites patients must be greater than or equal to 18 years of age.

Exclusion Criteria:

* Previous treatment with brentuximab vedotin.
* Previously received an allogeneic transplant.
* Congestive heart failure, Class III or IV, by the New York Heart Association criteria.
* History of another primary malignancy that has not been in remission for at least 3 years.
* Known cerebral/meningeal disease.