区别就是两者的人称代词宾语不一样,具体的不同如下
wake him up中文意思是把他叫醒
She gave him a pinch on the arm to wake him up.
她拧一下他的胳膊把他唤醒。
wake her up中文意思是把她叫醒
She is asleep but I will wake her up.她睡着了,可是我要把她弄醒。
wake him up和wake her up
     wake him up 和wake her up 的区别仅仅在于作宾语的代词不同:him 是男性,而her 是女性,它们的中文意思分别是:“把他叫醒” 和 “把她叫醒”。
     wake up是个短语动词,它可以是及物的,也可以是不及物的。
      作及物动词用时,意思是:把某人叫醒,如果宾语是名词,既可以放在make和up之间,也可以放在up之后如果宾语是代词,则只能放在make和up之间。例如:Every morning the mother has to wake up her daughter. / His daughter wants to sleep for longer time. so he won't wake her up until 7:00 o'click. 
      作不及物动词用时,意思是:醒来。例如:He usually wakes up at 6:30 in the morning. 
   回答完毕。
wake him up和wake her up
wakes him up 叫醒他
wakes her up 叫醒她
wake sb. up 叫醒某人,唤醒某人
him 是 he 的宾格,意思是 ”他“。
her 是 she 的宾格,意思是”她“。
以上是所有回答,希望帮到您。