Current Status of the Odderon

Odderon is the C-odd amplitude which does not die out (or die very slowly) with energy. We consider the constrains on the Odderon properties and the perturbative QCD Odderon given at the lowest $\alpha_s$ order by the three gluon exchange. Then we discuss the experimental indications for the Odderon contribution to high energy proton-proton elastic scattering and some other processes in which the Odderon may reveal itself.