We present new maps of emission-line flux distributions and kinematics in both ionized (traced by H i and [Fe ii] lines) and molecular (H 2 ) gas of the inner 0.7×0.7 kpc 2 of the galaxy NGC 4303, with a spatial resolution 40-80 pc and velocity resolution 90-150 km s −1 obtained from near-IR integral field specroscopy using the VLT instrument SINFONI. The most promiment feature is a 200-250 pc ring of circum-nuclear star-forming regions. The emission from ionized and molecular gas shows distinct flux distributions: while the strongest H i and [Fe ii] emission comes from regions in the west side of the ring (ages ∼4 Myr), the H 2 emission is strongest at the nucleus and in the east side of the ring (ages >10 Myr). We find that regions of enhanced hot H 2 emission are anti-correlated with those of enhanced [Fe ii] and H i emission, which can be attributed to post starburst regions that do not have ionizing photons anymore but still are hot enough (≈ 2000 K) to excite the H 2 molecule. The line ratios are consistent with the presence of an AGN at the nucleus. The youngest regions have stellar masses in the range 0.3-1.5×10 5 M ⊙ and ionized and hot molecular gas masses of ∼ 0.25 − 1.2 × 10 4 M ⊙ and ∼ 2.5 − 5 M ⊙ , respectively. The stellar and gas velocity fields show a rotation pattern, with the gas presenting larger velocity amplitudes than the stars, with a deviation observed for the H 2 along the nuclear bar, where increased velocity dispersion is also observed, possibly associated with non circular motions along the bar. The stars in the ring show smaller velocity dispersion than the surroundings, that can be attributed to a cooler dynamics due to their recent formation from cool gas.