If you sleep through a lot of noise or an activity, it does not wake you or keep you awake.

I never heard the storm last night - I must have slept through it. 昨晚我没有听到暴风雨声——我肯定睡得死死的。

I was so bored that I slept through the second half of the film. 我觉得电影很乏味，看到一半就睡着了。