The design and operation of low temperature processes involving natural gas requires the phase equilibrium knowledge about the mixture (nitrogen (N-2) + methane (CH4)) over extensive pressure and temperature ranges. In this work, the experimental apparatus for the vapor-liquid equilibrium is built, and vapor-liquid equilibrium data of the mixture (N-2 + CH4) have been measured in the temperature range from (110 to 125) K. The experimental method used in this work is a single-cycle type. The vapor-liquid equilibrium experimental data of the mixture (N-2 + CH4) are correlated by the Peng-Robinson equation-of-state + the first Modified Huron Vidal mixing rule + Wilson model, and the adjustable parameters of the activity coefficient are given. The correlated results show that they exhibit a good agreement with the experimental data. The average vapor composition deviation and the maximum vapor composition deviation are 0.0057 and 0.0166, respectively; the average relative pressure deviation and the maximum pressure deviation are 0.75 % and 2.25 %, respectively. In addition, no zoetrope exists in the binary system, and the system reveals slightly positive deviations from ideality from the correlation results.