Mr Lohan claims Dina's drinking has contributed to Lindsay's recent troubles - which include her latest spell in rehab after crashing her Mercedes and being arrested on suspicion of drink-driving and possession of cocaine.
He is currently being divorced by Dina, and has said he believes his daughter's problems with alcohol can be traced back to his own past drug use.
He is also battling for visiting rights to see his two younger children, Aliana and Dakota.
Mr Lohan said: "I do not believe Dina should be drinking in front of our daughter.
"If she continues to do this, I guarantee Lindsay will fall apart again."