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The Actor-Partner Interdependence Model (APIM) provides methodological framework to describe the mutual influences between the dyad members. Theoretically it based on the recognition of the dependency between dyad members, and mathematically – is a method for evaluating variance, both between dyads and within dyads. In our study we used APIM, based on structural equation modeling (SEM). There were evaluated the actor and partner effects in MZ female twin pairs in self and co-twin assessment. Our study involved 49 twin pairs aged from 18 to 64 years old (mean age was 27 years). Unipolar scales of semantic differential (45 adjectives) were used for actual self and co-twin assessments as well as the desired changes in personality in oneself and in co-twin. According to exploratory factor analysis we obtained 5 factors: Agreeableness, Activity, Perseverance/Conscientiousness, Ascendancy/ Proneness to Conflict and Sensitivity. For all factors escape Ascendancy/ Proneness to Conflict only actor effects were founded between actual and desired self-assessments. Ascendancy/ Proneness to Conflict demonstrated partner and actor effects for actual and desired self-assessments. The relations between self and co-twin (actual assessment and desired changes) are more complex. The results are interpreted in the context of the role of the shared and nonshared environment in the variability of personality traits of twins.