Single Point Incremental Forming (SPIF) is a sheet metal forming method that allows to manufacture single parts at low cost and in a short time. This work studies the effect of both process parameters and thermal and mechanical properties of the material on the final temperature of the sheet. The aim of the work was therefore to establish practical formulae allowing to predict the temperature of the sheet at the end and during the process. Experimental tests were performed using the AA5754 material. These tests were used to calibrate and validate the quality of the proposed model that showed a good prediction ability.A multi-objective algorithm was then used to find the optimal process configurations that allow both temperature maximization and strain rate minimization. Naturally, the optimal solution has to ensure the feasibility at minimum time and the satisfaction of some quality constraints at the same time. These three objectives were chosen to allow the user to analyze on the efficient frontier all the possible trade-off between quality of the process (temperature and strain rate) and operating costs (time).