Most of the energy is produced from non-renewable petroleum resources. However, the resource is depleted from time to time. Sustainable resources like biodiesel produced from natural lipids used as an alternative energy resource. And also, due to depleting of the edible oil, it replaced by non-edible oil produced from waste biomass like Speant coffee ground. The aimed of this work was the optimization of biodiesel production from Speant coffee grounds oil. Then this sample was collected, prepared and the oil extracted via Soxhlet amputates using n-hexane as extraction solvent at optimum extraction technique based on the literature (70 oC, 4hrs and 0.3 mm)reaction temperature, time, and particle size respectively. The extracted oil was separated from hexane by a rotary evaporator ,that 51% of solvent was recovered and 23.3wt% oil was obtained based on the dry mass of sample. The acid value of this oil was 13 mgKOH/g, due to this two-step biodiesel production process was available means acid esterification followed by alkaline trans-esterification. First esterified with 50%v/v methanol and 1.5wt% H2SO4 as a catalyst at 60 OC temperature and 600 rpm for 4hrs reaction time was used and during the trans-esterification reaction process and biodiesel production was optimized during traneasterfication reaction process by using experimental design-11 software’s with Box-Behnken method of RSM at the three factors with tree level from the low to high value of temperature (55-65 o C), time (40-80 min) and alcohol to oil molar ratio (6-8) and at specific alkaline catalyst load (NaOH 1wt%) and mixing intensity (500 rpm). The expermntal result was 87.5% and 98.1% as minimum and maximum yields. The three optimum parameter’s condition were 61.76, 56.96, and 6.9 respectively and optimum responses predicted value was 98.43wt% as well as the validated experimental result of biodiesel yield was 98.3% +_0.12 within the standard limit value requirement of FAME.