Cardiovascular diseases are the leading cause of death worldwide. These cardiovascular diseases are associated with mechanical changes in the myocardium and aorta. It is known that stiffness is altered in many diseases, including the spectrum of ischemia, diastolic dysfunction, hypertension and hypertrophic cardiomyopathy. In addition, the stiffness of the aortic wall is altered in multiple diseases, including hypertension, coronary artery disease and aortic aneurysm formation. For example, in diastolic dysfunction in which the ejection fraction is preserved, stiffness can potentially be an important biomarker. Similarly, in aortic aneurysms, stiffness can provide valuable information with regard to rupture potential. A number of studies have addressed invasive and non‐invasive approaches to test and measure the mechanical properties of the myocardium and aorta. One of the non‐invasive approaches is magnetic resonance elastography (MRE). MRE is a phase‐contrast magnetic resonance imaging technique that measures tissue stiffness non‐invasively. This review article highlights the technical details and application of MRE in the quantification of myocardial and aortic stiffness in different disease states.