Concrete cracks are among the primary indications of the structure' failure, which is crucial for maintenance and the resulting exposure will damage the environment. To support vibration-based structural health monitoring (SHM), this chapter provides a review on the assessment of current studies on signal processing methods and image processing. Data may be collected, displayed, analyzed, and then utilized to inform maintenance choices using various tools and procedures. Civil construction, such as buildings, columns, beams, and slabs, has been the focus of attention. SHM based on vibration relies heavily on signal processing. In signal processing, the goal is to find, quantify, and locate the structure's damage by extracting subtle changes in the vibration signals. There remains a gap in the exact measurement of the width of cracks in millimeters, despite the fact that significant research has been done on crack identification utilizing image processing. By highlighting and analyzing some of the most influential papers from around the world, this review article illuminates research from all over the world.