Cardiovascular disease is a common cause of death in patients with chronic obstructive pulmonary disease (COPD) and is a key target for improving outcomes. However, there are concerns that patients with COPD may not have enjoyed the same mortality reductions from acute myocardial infarction (AMI) in recent decades as the general population. This has raised questions about differences in presentation, management and outcomes in COPD patients compared to non-COPD patients. The evidence points to an increased risk of death after AMI in patients with COPD, but it is unclear to what extent this is attributable to COPD itself or to modifiable factors including under-treatment with guideline-recommended interventions and drugs. We review the evidence for differences between COPD and non-COPD patients in terms of the presentation of AMI, its treatment, and outcomes both in hospital and in the longer term.