I have avascular necrosis in both my talus will it ever heal without surgery?

Very small chance: The talus has a very delicate blood supply. About the only conservative treatment would be a bone stimulator, which could promote bone healing and activity. It is more likely, however, that surgery will be necessary. This usually consists of a fusion, whether it is an ankle fusion or pantalar fusion.

Yes, but.....: All bones will heal. The issue is deformity and possible arthritis. The biggest risk of avn is that the bone does begin to heal. Bone becomes soft as it heals and the talus can then collapse. With or without deformity, you are at risk for symptomatic arthritis.

Not good: That is kind of unusual how did this happen? Unlikely to get better on it's own unfortunately I am not so sure any treatment will help either.

AVN Talus: Good source of info: http://www.Mdmercy.Com/footandankle/conditions/ankle_arthritis/avascular.Html.