Astronomers from Japan and New Zealand offered new strategy of search of the Earth-sized planets, which number in our galaxy scientists estimated at 100 billions pieces. Strategy is based on a gravitational microlensing method. In the research astronomers suggested to combine the information obtained from space observatory “Kepler” and as a result of application of a gravitational microlensing. The combination of two techniques will allow to find Earth-sized planets, which are in orbits from 0,5 to 10 astronomical units (distance from Earth to the Sun). The planet of the terrestrial sizes on considerable removal from a star can’t almost be found a transit method which is applied on a telescope “Kepler”. The space observatory fixes falling of brightness of a star when the planet passes between it and Earth. Thus, “Kepler” is capable to find about 17 billions planets of terrestrial type in the Milky Way. The transit method of supervision exoplanet is the most widespread, on an equal basis with a Doppler method. The Microlensing Observations in Astrophysics project, created by astronomers from Japan and New Zealand allowed expanding a search circle. The initiative is directed on search of space objects due to effect of a gravitational microlensing when rays of light (stars) deviate near object with a big mass (planet). As a result on the image of a star there are flashes, which allow to judge planet existence in its orbit. Now the project for the supervision uses an observatory telescope Maunt John in New Zealand. In the future Las Kumbres (LCOGT.net) is planned to involve in supervision a global network of telescopes of observatory. This network was created for the continuous review of the sky by the optical telescopes located in northern and southern hemispheres, and for finding the Earth-sized planets.