The authors consider the Timoshenko system with a memory term: \[ \begin{aligned} & w_{tt}-(w_x+\psi)_x=0,\;(x,t)\in (-\infty,\infty)\times (0,\infty),\\ & \psi_{tt}-a^2\psi_{xx}+(w_x+\psi)+abg\ast\psi_{xx}=0,\;(x,t)\in (-\infty,\infty) \times (0,\infty),\\ & (w,w_t,\psi,\psi_t)(x,0)=(w_0,w_1,\psi_0,\psi_1)(x),\;x\in(-\infty,\infty),\end{aligned} \] where \(a,\, b\) are positive constants and the term \(g\ast\psi_{xx}\) corresponds to the memory-type dissipation. The fundamental solution is constructed by using the Fourier-Laplace transform. Applying the energy method in the Fourier space, authors derive pointwise estimates of solutions in the Fourier space which give sharp decay estimates of the solutions. It is shown that the decay property of the system is of the regularity-loss type and is weaker than that of the Timoshenko system with a frictional dissipation.