Framed for murder dramas other too.. Like "Yellow Boots", "Secret", 

This i remember one of the dramas "were mother dies and daughter is framed for murder". Can't remember the name of the drama, but that the who killed her steals her man and child.. 

Please Help me..

Monster (2016) has a bunch of shenanigans like that, including framing someone for murder (wait...did it even happen more than once?)
Two weeks...main guy framed for murder
The Suspect (K-movie) ....http://mydramalist.com/7071-the-suspect
Vampire Prosecutor (K-drama)...the suspected for murder thingy happens towards the end,...http://mydramalist.com/2961-vampire-prosecutor

And if you don't mind me recommending 3 non-Korean movies...watch :)...

http://mydramalist.com/7561-the-murder-of-snow-whi...
http://mydramalist.com/4299-nightfall
http://mydramalist.com/3819-murderer
GOODBYE MR BLACK 
BAD GUYS
 NinahFox:
I found that drama i was looking it's Hold my hand.
http://asianwiki.com/Hold_My_Hand_(Korean_Drama)

I loved that show so much especially Yun Soo 's transformation

Remember:War Of the son. The father is framed for rape and murder. Also in lawless lawyer the main character is framed for murder in some episodes

Suspicious Partner has a law student framed for murder.