Abstract This paper,proposes,a multidimensional,capability deprivation,index based on a structural economic,model,(SEM) that explains the capability/deprivation levels in different dimensions, accounting for their multidimensionality and their "unobservable" (latent) nature. Under this framework, the freedom of choice in each capability domain is represented by a latent variable, partially observed through a group of indicators (achievements), and explained by a col- lection of exogenous,variables. The estimators,of the different latent variables (scores) provide a measure,of the capability levels of the population,observed,in each,dimension.,Single and multi-dimensional capability deprivation,indices are derived,using these scores. The proposed,indices are ordinal and fulfill a set of desirable,properties,in the capability framework.,The methodology,is applied,to analyse the deprivation,situation of children in Bolivia in the knowl- edge and living conditions,domains. Keywords: Capability Approach, Structural Equation Model (SEM), Poverty,