Both sentences are grammatically correct, but they convey slightly different meanings depending on the context. "I wish he would remember" suggests that you desire or hope for someone to remember something in the future. It implies a sense of longing or anticipation for the person to retain a memory or knowledge in the future. "I wish he remembered" expresses a desire or regret about someone's lack of memory or recollection in the present. It indicates that you want the person to remember something right now but acknowledge that they currently do not. To provide a more specific answer, please provide additional context or clarify the intended meaning, and I'll be happy to assist you further.

Both are OK.