Asch's research may a child of its time—they took place in a period of history when conformity was high (US in 1956 = strong anti-communist period—McCarthyism)
Cultural differences in conformity— Smith et al. (2006) analysed the results of an Asch-type study across a number of different cultures. The average conformity rate was 31.2%
Unconvincing confederates— it may have been difficult for the confederates to act convincingly when giving the wrong answer which would affect the validity of the study
Morai and Arai (2010) overcame this problem by using polarized lenses, and the results from their study suggested that Asch's confederates had acted convincingly