Present-day era has been heralded with general public concern about potential health consequence of exposure to radiant electromagnetic waves energy from operational telecommunication base station transceivers. In this work, model-based calculation method is employed to estimate the intensity of exposure and electromagnetic energy absorption level by biological human tissues from specific base station antennas, considering some frequencies of operations of Global System for Mobile Communication (GSM), Universal Mobile Telephone Communication Systems (UMTS) and Long Term Evolution (LTE) in Nigeria. The estimation procedure involves calculating the level of absorption of electromagnetic energy by 11 different human tissues for a variable penetration depth distances from the antennas at 900MHz, 1800MHz, 2100MHz and 2600MHz, respectively. The indicators used as measures for comparative investigation include the electric field strength and Specific absorption rate (SAR).The computed results revealed the LTE antennas at 1800Mz attained highest SAR level, followed by UMTS 2100MHz antennas, then GSM1800MHz, with 900MHz being the least. Comparing with recommended ICNIRP limits, which are 2 W/kg for general public exposure, the obtained SAR results for all the tissues did not exceed standard except for only blood and kidney that attained 2.2W/kg and 2.1W/kg, respectively at LTE 2600MHz.