There are several meanings or synonyms for both words. It would be helpful to know the context of how the words are used, in order to explain a particular difference. Obscure: ambiguous, complicated, concealed, confusing, cryptic, doubtful, far-out, hazy, hidden, illogical, inconceivable, intricate, mysterious,, unbelievable, unclear, undefined, vague Incomprehensible: baffling, beyond one's grasp, fathomless, mysterious, mystifying, obscure, too hard to understand, perplexing, puzzling, unfathomable, ungraspable, unimaginable,

obscure can be somthing that is unusual, hidden, mysterious, partly understood incomprehensible is something that cannot be understood