Current programs of search for gravitational waves by terrestrial detectors

We discuss the problem of of detection the gravitational radiation which could be produced by relativistic objects in the Universe. After a brief sketch of the detector world net the attention is concentrated on present programs of search for conceivable signals expected in the frame of modern astrophysics. It is concluded that the probability of succeeding with the modern generation of gravitational detectors, sensitive to the metric perturbation on the order of 10(-21), is low. One of the ways to increase the probability is a search for "astro-gravity correlations" where a gravitational detector noise background is analysed referring to the data of gamma-ray and neutrino detectors.