Embodiments of present inventions are directed to an advanced catalyst. The advanced catalyst includes a honeycomb structure with an at least one nano-particle on the honeycomb structure. The advanced catalyst used in diesel engines is a two-way catalyst. The advanced catalyst used in gas engines is a three-way catalyst. In both the two-way catalyst and the three-way catalyst, the at least one nano-particle includes nano-active material and nano-support. The nano-support is typically alumina. In the two-way catalyst, the nano-active material is platinum. In the three-way catalyst, the nano-active material is platinum, palladium, rhodium, or an alloy. The alloy is of platinum, palladium, and rhodium.