Graphene appears as a promising candidate in the spintronic application due to its fascinating electrical properties. A large number of theoretical and experimental studies have demonstrated the accessibility and significance of inducing magnetism in graphene-based systems. This review is dedicated to the overview of the latest five-year advances of studies on graphene's magnetism based on a dimensional viewpoint, including nanoflakes (0D), graphene nanoribbons (1D), graphene sheets and twisted bilayer graphene (2D). Various methods, such as edge engineering, defect engineering, sp3 functionalization, heteroatom adsorption and interlayer rotation, are suggested to induce intriguing magnetic behaviors. Finally, we summarized the challenges and opportunities in the field to provide guidance for future research.