The company was established in 1932 by Hans Suter in Zurich, Switzerland, as Marmor + Quartzit GmbH. Since its foundation, the company has always specialized in the trade of marble and granite, holding initial agreements with companies in France, Norway, Rome, Spain, Belgium, Switzerland and Germany. The company's first markets were Switzerland, Italy, Germany, France and Austria.
At the beginning of the 1960s, M+Q began doing business in South Africa, where Suter became acquainted with the firm, Destag. The company was eventually sold to Destag in 1971, and the name was changed to its current full title, M+Q Granit AG. In 1981, the company established a stockyard for the sale of blocks in Carrara, and it took part in the Marmo Macchine Fair (now CarraraMarmotec) for the first time.