Abstract: High strength Portland cement compositions comprised of Portland cement clinker which has been ground to a specific surface area of between about 4400 cm.sup.2 /g and up to 6000 cm.sup.2 /g, alkali or alkaline earth lignosulfonate in an amount of between about 0.75 and 1.25 percent by weight, sodium bicarbonate in an amount of between about 1.25 and 2.5 percent by weight, and gypsum in an amount of between about 1.5 and 4.0 percent by weight, wherein the lignosulfonate and the bicarbonate are present in a ratio of about one to two and the cement product formed has a porosity of less than about 5 percent by volume voids. The cement compositions have an adequate plastic period of from at least about 90 minutes, as well as adequate and/or improved one and twenty-eight day strengths of in excess of about 5000 psi and 6000 psi, respectively. Sand or sand, crushed rock and/or gravel can be incorporated into the cement mixes or compositions to form mortar and concrete products.