Method for producing cements for general construction purposes includes the use of water treatment sludge as a filler, which is dehydrated, dried and added to the cement, after which all components are mixed. The water treatment sludge is copper hydroxide, which is added to the cement in the amount of 0.5, 1.0 or 1.5 wt%. The sludge is crushed to a powdered state, and the cement and sludge are mixed in a ball mill for 20±2 minutes to achieve a homogeneous mixture