This work presents combined economic and emission power dispatch (CEED) when the fuel cost function can be presented as cubic function. Max/max price penalty factor is considered in the multi-objective function of (CEED). The fuel cost is presented with 4 parameters (a, c, d, and e). Simulated annealing approach is our method to find the optimal solution. The simulated annealing algorithm is used to minimize the fuel cost and the gas emissions as SO2, NOx, and CO2 in the same time. In this study, in order to evaluate the proposed method, we applied it on 6-unit system with cubic fuel cost and cubic emission functions. The results obtained from SA method are compared with Lagrange method and particle swarm optimization. The results show that the SA algorithm is better than the others at solving such the problem of combined emission and power dispatch.