The origin of the cosmic γ-ray background at 1-20 MeV remains a mystery. We show that γ-ray emission accompanying annihilation of 20 MeV dark matter particles explains most of the observed signal. Our model satisfies all of the current observational constraints, and naturally provides the origin of "missing" γ-ray background at 1-20 MeV and 511 keV line emission from the Galactic center. We conclude that γ-ray observations support the existence of 20 MeV dark matter particles. Improved measurements of the γ-ray background in this energy band undoubtedly test our proposal.PACS numbers: 95.35.+d, 95.85.Nv, 95.85.Pw What is the origin of the cosmic γ-ray background? It is usually understood that the cosmic γ-ray background is a superposition of unresolved astronomical γ-ray sources distributed in the universe. Active Galactic Nuclei (AGNs) alone explain most of the background light in two energy regions: ordinary (but obscured by intervening hydrogen gas) AGNs account for the lowenergy ( < ∼ 0.5 MeV) spectrum [1, 2, 3], whereas beamed AGNs (known as Blazars) account for the high-energy ( > ∼ 20 MeV) spectrum [4,5,6]. There is, however, a gap between these two regions. While historically supernovae have been a leading candidate for the background up to 4 MeV [7,8,9,10], recent studies [11,12] show that the supernova contribution is an order of magnitude lower than observed. The spectrum at 4-20 MeV also remains unexplained (for a review on this subject, see [13]). It is not very easy to explain such high-energy background light by astronomical sources without AGNs or supernovae.So, what is the origin of the cosmic γ-ray background at 0.5-20 MeV? On energetics, a decay or annihilation of particles having mass in the range of 0.5 MeV < ∼ m X < ∼ 20 MeV would produce the background light in the desired energy band. Since both lower-and higher-energy spectra are already accounted for by AGNs almost entirely, too lighter or too heavier (e.g., neutralinos) particles should be excluded. Is there any evidence or reason that such particles should exist? The most compelling evidence comes from 511 keV line emission from the central part of our Galaxy, which has been detected and mapped by the SPI spectrometer on the INTErnational Gamma-Ray Astrophysics Laboratory (INTE-GRAL) satellite [14,15]. This line should be produced by annihilation of electron-positron pairs, and one of the possible origins is the dark matter particles annihilating into electron-positron pairs [16]. This proposal explains the measured injection rate of positrons as well as morphology of the signal extended over the bulge region. Intriguingly, popular astronomical sources such as supernovae again seem to fail to satisfy the observational constraints [17]. Motivated by this idea, in the previous paper [18] we have calculated the γ-ray background of redshifted 511 keV lines from extragalactic halos distributed over a large redshift range. We have shown that the annihilation signal makes a substantial contribution to the low-energy spectrum at < 0.511 Me...