Thesis is ": ANALYSIS OF PRESSURE VESSEL BY USING OF NORM AND FINITE ELEMENT METHOD ". The work includes the design and construction of pressure vessels for the storage of compressed air. The vessel is made of steel for boilers and pressure vessels P355GH, capacity 377 liters. It is designed according to the regulations on pressure equipment, calculated according to ASME Section VIII, Division 1 and 2 and EN standard 13445 and an analysis is made using the finite element method. Additionally, according to the standards calculation is made in software PVElite, while the supports are subsequently analyzed using software NozzlePRO. The pressure vessel consists of a cylindrical shell and two elliptical heads and it is supported on two supports. The outer diameter is 𝐷𝑣= 410 mm, design pressure is 10 bar and the design temperature is 150°C. Calculation according to these standards is applicable to all structural elements of pressure vessel. The results were compared with analysis using software package ANSYS which is using finite element method. In this way the advantages and disadvantages of these two approaches were analyzed and finally attempted to carry out the facts and conclusions as well do it in engineering practice in order to expedite future work and save time, and thus the money. The first part of master thesis is consisted of basic terms and definitions in the field of pressure equipment, definition of pressure vessels, of which materials are made and their constructional features. Also the applicable laws and regulations in the field of pressure equipment in Croatia are listed. In the second part of master thesis are selected the type and form of pressure vessel, defined is construction and input data is given for the calculation. Designed pressure vessels is also classified according to HRN M.E2.150 and M.E2.151 and according to the European Directive - Ordinance on pressure equipment. According to a defined project task performed are all the necessary calculations with the given comments and conclusions derived from the analysis of results. Before the introduction to the topic of this thesis I would point out that all the structural elements of calculated pressure vessel are accompanied by technical documentation, which is located at the end in the chapter "APPENDIX". 3D model is made too to display pressure vessel better and make perception much easier in the area with the instructions for operation and use. Both items were carried out in the software package SolidWorks 2012.