The meaning of Eternal death in the Bible
(From Easton's Bible Dictionary)

The miserable fate of the wicked in hell (Matthew 25:46; Mark 3:29; Hebrews 6:2; 2th 1:9; Matthew 18:8; 25:41; Jude 1:7). The Scripture as clearly teaches the unending duration of the penal sufferings of the lost as the "everlasting life," the "eternal life" of the righteous. The same Greek words in the New Testament (aion, aionios, aidios) are used to express (1) the eternal existence of God (I Timothy 1:17; Romans 1:20; 16:26); (2) of Christ (Revelation 1:18); (3) of the Holy Ghost (Hebrews 9:14); and (4) the eternal duration of the sufferings of the lost (Matthew 25:46; Jude 1:6).

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