The paper aimed to evaluate the degree of contamination of honey available on the Polish market with cadmium (Cd) and lead (Pb). The analyses involved 49 samples of honey: monofloral (n = 24): linden, raspberry, goldenrod, bean, dandelion, buckwheat and rapeseed honey, multifloral honey (n = 17) and coniferous honeydew honey (n = 8). The content of Cd and Pb was determined using Inductively Coupled Plasma-Optical Emission Spectrometers (ICP-OES). The content of Cd and Pb was confirmed in all the analysed honeys, but in 18% of samples the level of Cd was < LOQ. The analysed honeys contained from < LOQ to ca. 0.09 mg Cd per 1 kg, on average 0.025 mg kg−1. On average, they contained 0.193 mg Pb (range 0.014–1.007) per 1 kg of the raw product. The content of Cd and Pb can be presented as: honeydew honey > multifloral honey > monofloral honey. The content of Cd in monofloral honeys can be presented as follows: linden > other (raspberry, goldenrod, bean, linden + bean) > dandelion = buckwheat = rape, while the content of Pb as linden > other > rapeseed > buckwheat > dandelion honey. It should be emphasised that consuming 19 g of honey a week (mean honey consumption in Poland) is safe for human health, as it results in an intake of Cd at the level of 1.18E-04% PTWI and 0.553% PTWI for children and an intake of Pb at the level of 0.641% BMDL01 for adults and 5.916% BMDL for children. The obtained results lead to a conclusion that the risk of disorders related to chronic exposure to Cd and Pb ingested with honey is very low, which is demonstrated by the fact that both children and adults showed CDI, CR, THQ and HI that were lower than 1.