JABRAİLZADE, Fidan2021-11-302021-11-302021-06-30https://doi.org/10.31801/cfsuasmas.766788http://hdl.handle.net/20.500.12575/76485This paper consist of three main sections. In the first part, we obtain the complete lifts of the F_{a}(5,1)-structure on tangent bundle. We have also obtained the integrability conditions by calculating the Nijenhuis tensors of the complete lifts of F_{a}(5,1)-structure. Later we get the conditions of to be the almost holomorfic vector field with respect to the complete lifts of F_{a}(5,1)- structure. Finally, we obtained the results of the Tachibana operator applied to the vector fields with respect to the complete lifts of F_{a}(5,1)-structure on tangent bundle. In the second part, all results obtained in the first section investigated according to the horizontal lifts of F_{a}(5,1)-structure in tangent bundle T(Mⁿ). In finally section, all results obtained in the first and second section were investigated according to the horizontal lifts of the F_{a}(5,1)- structure in cotangent bundle T^{∗}(Mⁿ).enIntegrabilityTachibana operatorsLiftsArticle7013663812618-6470