The growth of solutions of differential-difference equations is studied by using Nevanlinna theory. On the one hand, the growth of entire solutions of differential-difference equation \(\begin{aligned} f^n(z)f^{(k)}(z)+q(z)e^{Q(z)}f(z+c)=u(z)e^{v(z)} \end{aligned}\) is obtained, where q, Q, u, v are polynomials such that Q(z) is not a constant and \(q(z)u(z)\not \equiv 0\) and c is a constant, \(n\ge 1\) , \(k\ge 0\) are integers, which improves the results of Chen et al. [Rocky Mountain J. Math. 52, 1251-1266 (2022)]. On the other hand, the growth and form of entire solutions of differential-difference equation \(\begin{aligned} f^n(z)+\omega f^{n-1}(z)f^{(k)}(z)+q(z)e^{Q(z)}\mathcal {D}(z,f)=p_1(z)e^{\lambda _1z}+p_2(z)e^{\lambda _2z} \end{aligned}\) are described, where \(\mathcal {D}(z,f)=\sum _{i=0}^{l}b_if^{(t_i)}(z+c_i)\) , \(b_i\) , \(c_i\in \mathbb {C}\) , \(t_i(i=0,...,l)\) are non-negative integers, \(n, k(\ge 1)\) are integers, \(p_1, p_2\) , \(\lambda _1,\) \(\lambda _2(\lambda _1\ne \lambda _2)\) are non-zero constants, \(\omega \) is a constant, and \(q(\not \equiv 0)\) , Q(z) are polynomials such that Q(z) is non-constant, which extends the results of Erajikkappa et al. [Electron. J. Differ. Equations. 2025, 1-10 (2025)]. In addition, some examples are given to illustrate the accuracy of the results.
