The halide perovskite based solar cells demonstrate rapid progress in photoelectric applications. Recent studies sparked the tremendous interest to the indoor photovoltaics supported by the vision for extensive use of low-power Internet of Things gadgets. The low-intensity illumination conditions are very different from the direct sunlight and artificial light sources (LED etc.) have variation of the emission spectra. In this paper, we investigated the output performance of the halide perovskite solar cells by varying the absorber band gap between 1.60 eV and 1.97 eV under different LED illumination intensity and color temperatures (CT). We also studied the impact of the absorber thickness on the solar cell’s performance under LED illumination. The experimental results show that perovskite absorber with the band-gap of 1.72 eV permits to reach the highest efficiency in the all range of studied CTs (1700–6500K) varying from 31.8% to 34.9% at 200 Lx and from 34.9% to 36.1% at 1000 Lx. The origins of the effects and difference of the output parameters for PSCs were discussed with the estimation of the Shockley-Quiessier limit for LED illumination.