In this paper, generation of soliton molecule in a linear fiber laser array is investigated. For this purpose, certain fibers of this array are excited by Gaussian pulses. The central fiber of the fiber laser array is doped with rare-earth elements such as Er or Yb. Fiber arrays has powerful potential for system management and soliton generation in fiber laser array is useful compared to other methods. Furthermore, the generation of robust and stable soliton molecules in fiber array can be well described by cubic-quintic complex Ginzburg-Landau equation. With a specific set of parameters for the system in the normal dispersion regime, soliton molecules are investigated in the central fiber of linear fiber laser array. Numerical calculation of binding energy shows that generated soliton molecules are stable.