Objective The study aims to investigate associations between behavioural and psychological symptoms of dementia (BPSD) and abnormal premorbid personality traits. Methods Data were obtained from 217 patients with a diagnosis of probable Alzheimer's disease. Behavioural and psychological symptoms of late‐onset dementia were assessed with the Neuropsychiatric Inventory. Premorbid personality traits were assessed using the Standardised Assessment of Personality. Abnormal premorbid personality traits were categorised with Diagnostic and Statistical Manual of Mental Disorders fourth edition and International Statistical Classification of Diseases and Related Health Problems—10 diagnostic criteria for personality disorders. Results Abnormal premorbid personality traits were associated with increased behavioural and psychological symptoms in dementia. Cluster A (solitary/paranoid) premorbid personality traits were associated with anxiety, depression and hallucinations. Cluster C (anxious/dependent) traits were associated with a syndrome of depression. Conclusions The presence of Clusters A (solitary/paranoid) and C (anxious/dependent) abnormal premorbid personality traits seems to affect the expression of certain behavioural and psychological symptoms in dementia, depression in particular. Copyright © 2016 John Wiley & Sons, Ltd