Cardiovascular diseases are responsible for the largest number of deaths among humans worldwide, including heart attacks, strokes, and thrombosis. The treatment of thrombosis is generally through the administration of anticoagulant and/or antiplatelet drugs, which have some clinical limitations. Plants synthesize a wide variety of bioactive metabolites in response to different stimuli. This review focuses on a number of molecules of vegetal origin belonging to different chemical classes, with significant anticoagulant and antiplatelet effects. Their promising antithrombotic profile confirms the potential of natural products as a source of lead molecules for drug development in the prevention and treatment of thrombosis.