Stroke is often associated with chronic language disorders like aphasia and apraxia as well as memory impairments. Studies have found that memory problems in stroke are often verbal memory disorders. This review article discusses the association between language and short-term and working memory impairments in aphasia as well as differential diagnosis of memory disorders and concomitant disorders like speech apraxia. In addition, the authors provide a critical appraisal of published treatments and outcomes. They suggest adopting specific protocols based on practice based evidence to assess short-term and working memory impairment in aphasic patients as part of the rehabilitation. This is an excellent review providing speech language therapists with practical knowledge on the assessment and treatment of short-term and working memory impairment in aphasia.