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A Normal Summon Monster (通常召喚モンスター, Tsūjō Shōkan Monsutā) is a monster that can be Normal Summoned and/or Normal Set. Cards such as "Mystic Swordsman LV4" and "Guardian Elma" count as Normal Summon Monsters, since even though they can't be Normal Summoned (or can be, albeit with some difficulty), they can still be Normal Set.
This term is commonly used in Japanese rulings where a monster has an effect that limits its ways of being Summoned, or has an effect that Special Summons itself. This category of monsters essentially consists of all monsters that are not Special Summon Monsters, similar to how the category of Non-Effect Monsters consists of all monsters that are not Effect Monsters.