Here are Popular names of Lord Shiva with meanings:
Aashutosh: One who quickly grants wishes.
Aja: Unborn, eternal, the first.
Akshayaguna: Possessor of undecaying or infinite qualities.
Anantadrishti: Everlasting vision.
Aniket: One who has no home.
Bhairav: One who is fearful and protects.
Bholenath: Innocent and kind-hearted.
Chanda: Moon.
Chandrashekhar: One who wears the moon on his head.
Devadeva: God of gods.
Devantakanashakarin: Destroyer of the demon Devantaka.
Dhyaneshwar: Lord of meditation.
Durjaneeya: Difficult to be known.
Gangadhara: One who carries the Ganges.
Girijapati: Lord of Girija (Parvati).
Gunagrahin: Acceptor of gunas or qualities.
Hara: Remover of sins.
Jatadhara: One who has matted hair.
Jitendriya: One who has control over his senses.
Kailas: Abode of Lord Shiva.
Kailashadhipati: Lord of Mount Kailash.
Kalyan: Auspicious.
Kamalakshana: Lotus-eyed.
Kantha: Ever-radiant.
Kapali: Wearer of a necklace of skulls.
Karuna: Compassionate.
Khatvangin: One who has a weapon called khatvangin.
Kundalin: One who wears earrings.
Lalataksha: One who has an eye on his forehead.
Lingadhyaksha: Lord of the Lingas.
Lingaraja: Lord of the Lingas.
Lokankara: Creator of the three worlds.
Lokapal: One who protects the world.
Mahabuddhi: Extremely intelligent.
Mahadeva: Greatest of the gods.
Mahakala: Lord of Time.
Mahamaya: Extremely powerful and mysterious.
Mahayogi: Greatest yogi.
Mahesha: Supreme Lord.
Maheshwara: Great God.
Nataraja: Lord of the dance.
Nilakantha: Blue-throated.
Nityasundara: Forever beautiful.
Omkara: Creator of the Om sound.
Panchavaktra: Five-faced.
Parameshwara: Supreme Lord.
Parthasarathi: Charioteer of Arjuna in the Mahabharata.
Pinaki: One who holds the Pinaka bow.
Pranava: Originator of the sound Om.
Priyabhakta: Lover of his devotees.
Pushkara: One who gives prosperity.
Ravilochana: One who has sun as his eye.
Rudra: One who removes pain.
Sadashiva: Eternal God.
Sanatana: Eternal.
Sarvacharya: Teacher of all.
Sarvashiva: All-encompassing God.
Sarvatapana: Scorching all.
Sarvayoni: Source of everything.
Sarveshwara: Lord of all.
Shambhu: Source of happiness.
Shankara: Giver
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