The meaning of Sermon on the mount in the Bible
(From Easton's Bible Dictionary)

After spending a night in solemn meditation and prayer in the lonely mountain-range to the west of the Lake of Galilee (Luke 6:12), on the following morning our Lord called to him his disciples, and from among them chose twelve, who were to be henceforth trained to be his apostles (Mark 3:14,15). After this solemn consecration of the twelve, he descended from the mountain-peak to a more level spot (Luke 6:17), and there he sat down and delivered the "sermon on the mount" (Matthew 57-7; Luke 6:20-49) to the assembled multitude. The mountain here spoken of was probably that known by the name of the "Horns of Hattin" (Kurun Hattin), a ridge running east and west, not far from Capernaum. It was afterwards called the "Mount of Beatitudes."

See more on the meaning of Sermon On The Mount in the Bible:
Sermon On The Mount {International Standard Bible Encyclopedia}

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