We introduced us with the quantitative measure of political power in the yes-no voting system and its influence on the final voting result. We have presented the quantitative measures of the political power by four results, which are Shapley-Shubik, Banzhaf, Johnson and Deegan-Packel index of power which were shown by means of examples. With the joining of new members to the coalition, we have shown the paradox of new members, where the power seemed to be smaller but is actually bigger. In the example of the U. S. federal system, we have seen the power of president, members of the Senate and the House of Representatives. We presented the president’s power which is a paradox called The Chair’s Paradox. Through the ordinal power we have defined when we can say that power of voter is comparable or incomparable.