The authors in the article consider an actual problem of improvement of the training process with application of online testing for examination of students. The special attention is paid to kinds of computer tests, approaches and requirements to their creation and ways of use in educational process. The group of authors independently developed the computer testing shell on the basis of web programming (with the use of web pages toolset – php and database management systems – SQL) and shared it through the global network, requirements to its development and process of using the tests for estimation of students’ knowledge are described. A great advantage of this computer program for online testing is that there is no need to install it on a computer, it is necessary to have access to the Internet only. At any time a student can visit the website and pass a test using not only a computer or a laptop (Windows or Linux computer operating systems) but also by means of a smart phone or a tablet (Android operating system). Thus we see that this program is of great importance for introduction of the innovative way of estimation of students’ knowledge in remote education. A teacher having access to the system of editing (who knows a login and a password – the For the Teacher button) can see the browsing history with the following data: who, when, on what topic and what mark a student received having passed a test in this system of testing. The program works in such a way that questions in tests change the order (i.e. mix up) therefore it doesn't make sense to remember sequence of answers. Ukraine is intended to enter the European Union where the major part of study hours is intended for independent study therefore the program developed by the authors of the article is very relevant. This program has a set of advantages comparing with other programs (installation on a computer is not required, a student can pass test at any time, completely free, it is not necessary to license it, any operating system is acceptable), there is only one shortcoming – without the Internet access it will be impossible to interact with the testing program that means the ultimate efficiency of the developed program.