The structural and magnetic properties of double perovskiteTb2CoMnO6 have been investigated. Electronic structure analysis by XPS study reveals the presence of mixed oxidation state (Mn4+/Mn3+ and Co2+/Co3+) of B-site ions. The dc and ac magnetization measurements reveal different interesting phases such as Griffith phase, re-entrant spin glass, metamagnetic steps, Hopkinson like peak and also unusual slow relaxation. The M-H curve indicates the presence of competing AFM/FM interactions. The disorder in Tb2CoMnO6 leads to spin frustration at low temperature giving rise to the re-entrant spin glass. Moreover, the field-dependent ac susceptibility studies unraveled the presence of Hopkinson like peak associated with the domain wall motion and the large anisotropy field. The further study yielded that the relaxation associated with this peak is unusually slow.