If a line segment is divided into two lengths such that the ratio of the longer length to the shorter length is equal to the ratio of the segment’s entire length to the longer length, then the segment has been divided into the Golden Ratio. This is an irrational number that is denoted with φ and its value is \( \frac{1+\sqrt{5}}{2}\) and is approximately equal 1.61803. The difference of the golden ratio constant and its reciprocal is 1. There are many construction of the golden ratio. In this thesisare mentioned some constructions. There are considered the properties of a figures such as a golden rectangle, a golden triangle, a regular pentagon and the analyzed ratios of lengths in those figures which are equal to φ. The geometrical shapes at which the existence of the φ number was noticed on diferent ways were stated and studied. It has appeared since ancient times, at the Keops Pyramid and Parthenon. It appears in famous works of art, in the structure of living world which has also been mentioned. In the resent time in the design of logos, web-pages and devices, the existence of this eye pleasing ratio is often being encountered.