最普通的结构为 in spite of doing sth./in spite of sth.
despite doing sth/despite sth.
从你问的问题看,相信这个你已经很熟悉了.
更进一步,in spite of one's doing sth.和 despite one's doing sth.也是完全正确的.
in spite of和despite为介词和介词性质短语,后面只能跟名词和动名词.即只要是名词性质的短语,都可以跟.
这里,无论是sth,doing sth,one's doing sth.都是名词性质的,所以全是正确的,看情况使用而已了.
例句来了：
We held on for two days in spite of the violent attacks of the enemy.(sth.)
We held on for two days in spite of ememy's violent attacking.(one's doing sth.)
尽管敌人进行了猛烈攻击,我们坚守了两天之久.
当然也可以改为despite:
We held on for two days despite the violent attacks of the enemy.(sth.)
We held on for two days despite ememy's violent attacking.(one's doing sth.)
尽管敌人进行了猛烈攻击,我们坚守了两天之久.
全手打解释,:)