The behavior of the electric and dielectric properties of Ba0.7Sr0.3ZryTi1-yO3 is reported. For Ba0.6Sr0.35Zr0.05TiO3 (BSZT) enhanced dielectric constant εr which is about 10 times larger than that reported by Jae-Ho Jeon [1] and Y. Yu [2] for Ba1-xSrxTiO3 (BST). The decrease (reciprocal behavior) of the parallel resistance Rp while increase in the colossal εr is reported for both BST and BSZT slabs. In addition, εr and the parallel resistance Rp dependent on the external environment humidity around the measured sample. Thus, when reporting colossal εr and parallel resistance Rp or loss angle tangent tan(δ), the humidity surrounding the tested dielectric ceramic should be addressed. Perovskite ferroelectric barium strontium titanates are known for their relatively high dielectric permittivity, namely, high dielectric constant εr. The titanates ceramic materials interest both the scientific community as well as the electronic industry. In the present contribution we study large samples of Ba1-x SrxTiO3 doped Zr compared to the reported the classical Ba1-x SrxTiO3. Ceramics based on barium titanates are frequently used in the industry due to their high εr. These dielectric ceramics are used for capacitors, tunable phase shifters, ceramic antennas and many other applications which make them promising for new generation of materials especially for the electronic industry. The drawback of Ba1-x SrxTiO3 ceramics systems is a law resistance for high εr and relatively high tan(δ) which make them at present useless for industrial application. Obviously, one should look for a stable εr and a stable resistance. In addition, it should be admitted that the theoretical understanding of the extremely high permittivity phenomena needs a better insight. We concentrate on the best promising ceramic Ba0.7Sr0 .3TiO3, as at room temperatures εr is quit high, however, too sharp to have tunable properties. As function of temperature Jae-Ho Jeon [3] were able to prepare and measure the value of εr as function of x for Ba1-x SrxTiO3 and could derive the variation of the Curie temperature accordingly. For all values of x from -200 to +200 oC they reported very sharp and narrow peaks, thus, small variation of the temperature lead to significant variation of εr. In the present contribution it is shown that all the electric properties of the reported ceramic samples are sensitive to humidity, thus, when reporting εr, parallel resistance (Rp) and tan (δ) the environmental conditions of the measured sample should be addressed.