Acute cardiovascular disease is the leading killer of human health. Intravascular Photoacoustic (IVPA) imaging modality, which combines photoacoustic imaging and medical endoscopic technique, is expected to provide more reliable information about the vessel and plaques for the detection of vulnerable plaques and the interventional treatment of cardiac diseases. Till now, the study of the IVPA imaging has been still in its beginning stages. The study of the IVPA image reconstruction also mainly learns from the reconstruction algorithms of other mature imaging techniques. Based on the introduction of the IVPA imaging principle, two problems to be solved in IVPA image reconstruction are pointed out and some main reconstruction algorithms that can be applied to the IVPA image reconstruction are introduced and analyzed.