The review of current experiments on search and studying of double beta decay processes is done. Results of the most sensitive experiments are discussed and values of modern limits on effective Majorana neutrino mass (<mν>)aregiven.Newresultsontwoneutrinodoublebetadecayarepresented.Thespecialattentionisgiventonewcurrentexperimentswithmassofstudiedisotopesmorethan100kg,EXO−−200andKamLAND−−Zen.Theseexperimentsopenanewerainresearchofdoublebetadecay.Inthesecondpartofthereviewprospectsofsearchforneutrinolessdoublebetadecayinnewexperimentswithsensitivityto<m_ν>atthelevelof\sim 0.01-0.1$ eV are discussed. Parameters and characteristics of the most perspective projects (CUORE, GERDA, MAJORANA, SuperNEMO, EXO, KamLAND--Zen, SNO+) are given.