We present broad band photometry and spectroscopic observations of the host galaxy of GRB 030329 . Analysis of the spectral emission lines shows that the host is likely a low metallicity galaxy ( Z \sim 0.004 ) . The spectral energy distribution ( SED ) constructed with the photometric points has been fitted using synthetic and observational templates . The best SED fit is obtained with a starburst template with an age of \sim 150 Myr and an extinction A _ { v } \sim 0.6 . We find that the GRB 030329 host galaxy is a subluminous galaxy ( L \sim 0.016 L ^ { \star } ) with a stellar mass of \gtrsim 10 ^ { 8 } M _ { \odot } . Three independent diagnostics , based on the restframe UV continuum , the [ O ii ] , and the Balmer emission lines , provide a consistent unextincted star formation rate of \sim 0.6 M _ { \odot } yr ^ { -1 } , implying a high unextincted specific star formation rate ( \sim 34 M _ { \odot } yr ^ { -1 } ( L / L ^ { \star } ) ^ { -1 } ) . We estimate that the unextincted specific star formation rate of the GRB 030329 host is higher than \sim 93.5 \% of the galaxies at a similar redshift .