  We investigate generic n-point correlation functions of conformal field
theories (CFTs), with $T\bar{T}$ and $J\bar{T}$ deformations, in terms of the
perturbative CFT approach. We systematically obtain the first order correction
to the generic correlation functions of CFTs with $T\bar{T}$ or $J\bar{T}$
deformation. We compute the out-of-time ordered correlation function (OTOC) in
the Ising model with $T\bar{T}$ or $J\bar{T}$ deformation, which confirms that
these deformations do not change the integrable property up to the first order
level.
