Instrumental Neutron Activation Analysis (INAA) technique was used to analyze 14 brands of cigarette sold in Nigerian market for trace and major elements. The samples were irradiated with thermal neutrons in nuclear reactor and the induced activities were counted by γ-ray spectrometry using efficient calibrated High Purity Germanium (HPGe) Detector. Thirty one elements including metals, metalloids, nonmetals and elements which exhibit high thermal neutron reaction cross section were detected. The concentrations of these elements in the analyzed samples range from 0.01 - 2929ppm while Lu, Cs, Ce, Ti, Ta, V and Dy were found below the detection limit of the instrument. The results were compared with various standard reference materials and good agreement was obtained with the certified values. The result for some of these elements is too high that it poses a health risk to persons exposed to these cigarette constituents.