A lot of work has been done in two-phase sampling for estimating the population mean of study variable while considering the non-response at second phase see e.g. Khare and Srivastava (1993, 1995), Tabasum and Khan (2004), Singh and Kumar (2008) and Singh et al. (2010). Most of authors have used information of single auxiliary variable while estimating the mean of study variable, whereas in practical situation we may require/have auxiliary information on multiple characters. Khair and Sinha (2009, 2011) have used multi-auxiliary characters for estimating the population mean in the presence of nonresponse in the case of simple random sampling. In two-phase sampling, when auxiliary information is obtained at first phase sample that is relatively large sample than second phase, the nonresponse rate will be high as compared to second phase. In this paper we have proposed the class of generalized estimators for estimating population mean of study variable under two phase sampling scheme using multiauxiliary variable(s) in the presence of non-response at first phase. The information on all auxiliary variable(s) is not known for the population. The bias and mean square error have also been derived. Empirical study has been conducted for comparing the efficiency of proposed estimators.