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This paper proposes a robust method of parameter estimation and data classification for multiple-structural data based on the linear error in variable (EIV) model. The traditional EIV model fitting problem is analyzed and a robust growing algorithm is developed to extract the underlying linear structure of the observed data. Under the structural density assumption, the C-step technique borrowed from the Rousseeuw's robust MCD estimator is used to keep the algorithm robust and the mean-shift algorithm is adopted to ensure a good initialization. To eliminate the model ambiguities of the multiple-structural data, statistical hypotheses tests are used to refine the data classification and improve the accuracy of the model parameter estimation. Experiments show that the efficiency and robustness of the proposed algorithm.