The present invention provides: a catalyst for purification of exhaust gases which catalyst is excellent as a denitrification catalyst which has still more excellent ability to remove nitrogen oxides and of which the ability to oxidize sulfur dioxide into sulfur trioxide is extremely suppressed and further as a catalyst which is favorable for efficiently removing organohalogen compounds, such as dioxins, from exhaust gases; a production process therefor; and a process for purification of exhaust gases. The catalyst for purification of exhaust gases comprises titanium oxide, molybdenum oxide, and vanadium oxide as catalytic components, wherein the titanium oxide and the molybdenum oxide are included in the catalyst in the form of: a binary closely mixed oxide which is beforehand prepared and includes titanium and molybdenum; and/or a trinary closely mixed oxide which is beforehand prepared and includes titanium, silicon, and molybdenum.