The research was a child of its time which means it took place in a particular time in history when conformity was important. Low temporal validity.
Spenser and Perrin replicated the study and 1 out of 386 conformed which furthermore suggests Asch's research is a child of it's time and makes Asch's findings lack validity.
The study cannot be generalised to older people or women, which means its a bias sample (male participants) leads to androcentrism.
There were ethical issues: right to withdraw, as participants may have felt obliged to stay and finish the study.