"不停地表示愿望" can be translated into English as "constantly expressing one's desires" or "continually voicing wishes".
Here are some example sentences to illustrate the usage:
He has been constantly expressing his desire to travel the world. （他一直在不停地表示他想要环游世界的愿望。）
She continually voices her wish for a peaceful resolution to the conflict. （她不停地表示希望冲突能得到和平解决。）