Titanium dioxide-calcium carbonate composite particles capable of realizing characteristic properties inherent in titanium dioxide such as a high opacity, a process for producing the same, and a complex composition or complex incorporated with the same are provided. The composite particles were prepared by adding titanium dioxide particles having an average particle diameter of 0.1 to 0.5 m in a carbonation step, typically a step of introducing a gaseous mixture of carbon dioxide and air into a calcium hydroxide slurry with stirring, to conduct a carbonation, and continuing the reaction till pH of the slurry becomes 7 by continuous introduction of the gaseous mixture. Moreover, by incorporating the formed composite particles, complexes such as coatings and paints for paper making or composite materials such as paper, plastic molded materials, and rubber molded materials are produced.