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The unified $ (p,q; \alpha,\gamma, l)$-deformation of a number of well-knowndeformed oscillator algebras is introduced.The deformation is constructed byimputing new free parameters into the structure functions and by generalizingthe defining relations of these algebras. The generalized Jordan-Schwinger andHolstein-Primakoff realizations of the $U_{pq}^{\alpha \gamma l}(su(2))$algebra by the generalized $ (p,q; \alpha,\gamma, l)$-deformed operators arefound.  The generalized $ (p,q; \alpha,\gamma, l)$-deformation of the two-dimensionalconformal field theory is established. By introducing the $ (p,q;\alpha,\gamma, l)$-operator product expansion (OPE) between the energy momentumtensor and primary fields, we obtain the $ (p,q; \alpha,\gamma, l)$-deformedcenterless Virasoro algebra. The two-point correlation function of the primarygeneralized $ (p,q; \alpha,\gamma, l)$-deformed fields is calculated.

Unified $(p,q; \alpha,\gamma, l)$-deformation of oscillator algebra and two-dimensional conformal field theory