这两个短语本身没什么区别,区别在它后面：I really hope to 后面是动词原形,表示“我确实希望做某事”,而 I really hope 后面是宾语从句,从句中应有主语谓语等.例如 I really hope to have your help.我确实希望得到你的帮助.I really hope that you can help me.我确实希望你能帮助我（that引导宾语从句）.