The reasons for concentration on the reinsurance market were, first of all, concentra-tion of risk, which brought a need to increase the financial capacity of insurance and reinsurance companies, and, secondly, the competition on the global and domestic insurance and reinsurance markets. The immediate reason of the consolidation of the reinsurance market was an accretion of damage resulting from disasters in the 1990's. The increase in the damage resulting from disasters led to withdrawing of some reinsurancers from the market and new ones appeared which were financially weak. The global reinsurance centres, which appeared after the series of mergers and take-overs in the 1990's, make up for about 50% of the whole reinsurance market. We can mainly talk about four centres such as: Swiss Re - M & G - Unionrias, General Re - Cologne Re - National Re, Miinich Re - American Re, Employers Re - Frankona Re. The reasons for the reinsurance market consolidation are mainly connected with the need to increase the reinsurance capacity (the needs of reinsurance companies are growing) and also with the insurance market crisis in the USA in 1980's. Price and offer competition between the reinsurance companies was also an important factor.