Context : Aims : We present a multiwavelength study of two southern Galactic H II \xspace regions G346.056 - 0.021 and G346.077 - 0.056 which are located at a distance of 10.9 kpc . The distribution of ionized gas , cold and warm dust and the stellar population associated with the two H II \xspace regions are studied in detail using measurements at near-infrared , mid-infrared , far-infrared , submillimeter and radio wavelengths . Methods : The radio continuum maps at 1280 and 610 MHz were obtained using the Giant Metrewave Radio Telescope to probe the ionized gas . The dust temperature , column density and dust emissivity maps were generated by using modified blackbody fits in the far-infrared wavelength range 160 - 500 \mu m . Various near- and mid-infrared colour and magnitude criteria were adopted to identify candidate ionizing star ( s ) and the population of young stellar objects in the associated field . Results : The radio maps reveal the presence diffuse ionized emission displaying distinct cometary morphologies . The 1280 MHz flux densities translate to ZAMS spectral types in the range O7.5V - O7V and O8.5V - O8V for the ionizing stars of G346.056 - 0.021 and G346.077 - 0.056 , respectively . A few promising candidate ionizing star ( s ) are identified using near-infrared photometric data . The column density map shows the presence of a large , dense dust clump enveloping G346.077 - 0.056 . The dust temperature map shows peaks towards the two H II \xspace regions . The submillimetre image shows the presence of two additional clumps one being associated with G346.056 - 0.021 . The masses of the clumps are estimated to range between \sim 1400 to 15250 M _ { \odot } . Based on simple analytic calculations and the correlation seen between the ionized gas distribution and the local density structure , the observed cometary morphology in the radio maps is better explained invoking the champagne-flow model . Conclusions :