Inclusion Criteria:

Subjects with NHL to be included:

* Any subject with NHL that had relapsed or progressed following initial therapy with an anthracycline-based chemotherapy regimen and has achieved a subsequent partial remission (PR) or a complete remission (CR) following a salvage chemotherapy regimen.
* Any subject with NHL that was initially refractory to an anthracycline-based chemotherapy regimen but who has achieved a PR or CR following a salvage chemotherapy regimen.
* Any subject with an initial International Prognostic Index (IPI) score 4-5 who achieved a PR or any CR following an anthracycline-based chemotherapy regimen except subjects with Mantle cell, T cell and Natural Killer (NK) cell pathologies.
* Subjects with Mantle cell, T cell and NK cell lymphoma may be enrolled if they have PR or CR after initial therapy.
* Any subject that has relapsed or progressed following previous autologous HSCT.

Subjects with HL to be included:

* Any subject with HL that had relapsed or progressed following initial therapy with an multi-drug chemotherapy regimen and has achieved a subsequent PR or a CR following a salvage chemotherapy regimen.
* Any subject with HL that is initially refractory to a multi-drug chemotherapy regimen but who has achieved a PR or CR following a salvage chemotherapy regimen.
* Any subject that has relapsed or progressed following previous autologous HSCT.

Exclusion Criteria:

* Any subject with chemoresistant disease by demonstration of less than PR to most recent chemotherapy, and any subject with prior treatment history of autologous HSCT or high-dose chemotherapy with stem cell rescue for any medical reason will be excluded.

Excluded will also be subjects with existing or active central nervous system lymphoma or human immunodeficiency virus related lymphoma, unacceptable organ function, or uncontrolled infections.