Many cast members have been Emmy-nominated for their work on The West Wing but have not won , including Martin Sheenâ '' who was nominated each year for all seven seasons of the series without receiving the awardâ '' as well as Janel Moloney , who was nominated twice , and DulÃ Hill , Rob Lowe , and Mary-Louise Parker , who were all nominated once . Many cast members have been Emmy-nominated for their work on The West Wing but have not won , including Martin Sheenâ '' who was nominated for six of the seven seasons of the series without receiving the awardâ '' as well as Janel Moloney , who was nominated twice , and DulÃ Hill , Rob Lowe , and Mary-Louise Parker , who were all nominated once .