Lugia can't learn psychic on its own, but you can teach it through TM29.
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Lugia doesn't learn psychic in Pokemon soul silver on his own. However, you can easily teach Lugia psychic if you have the move in your possession.
LEVEL 85 ______________________________________ Learn Lugia Aeroblast .:.:.:.:.:.:.:.
Lugia learns Aeroblast at level 85.
level 40.
Level 36