Following are the thousand names of Lord Siva according to the Sivapurana.
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108 Names and Salutations to Lord Shiva
Shiva Aparadha Kshamapana Stotram, A Prayer Seeking Forgiveness
Bilwashtakam - A Prayer To Lord Siva With Bilwa Leaves
A Prayer To Siva - Chandrasekharashtakam
A Prayer To Lord Chidambara - Chidambareswara Stotram
Daridraya Dahana Shiva Stotram - A Prayer to Shiva To End Poverty
A Prayer to Worship Kalabhairava
Lalitha Sahasranamam: The Thousand Names of Sri Lalitha
Lingashtakam - A Prayer To Sivalingam
Shiva Nama Malyashtakam - A Prayer Extolling The Virtues Of Lord Siva
Shiva Mangalashtakam A Prayer Of Auspiciousness
Margabandhu Stotram - A Prayer To Lord Siva To Show The Right Path
Maha Mrityunjaya Stotram - A Prayer To Lord Siva For Victory Over Death
Nathopadesa Stotram - A Prayer That Teaches The Devotees
Shiva Panchakshara Stotram - A Prayer On The Five Names Of Shiva
Parameshwara Stotram - A Prayer The Supreme Lord Of Universe
Pradosha Mahatmyam - From Shiva Puranam
Shiva Raksha Stotram - A Prayer Seeking Siva's Protection
Sadasivashtakam - Prayer To Siva As Sundareswar
Shiva Sahasra Namam - Thousand Names of Lord Shiva from Mahabharata
Samkarashtakam - A Prayer To Lord Samkara
Sasakti Shiva Navakam Nine Stanzas Extolling The Power Of Shiva
Shiva Mahimah Stotram, A Prayer On The Miraculous Powers Of Shiva
Shivashtakam, A Prayer To Lord Siva
Shiv Chalisa - Forty Stanzas On Shiva in Hindi
Veda Sara Shiva Sthavam, Prayer To The Lord Of The Vedas
Sri Viswanatha Suprabathashtakam
Shiva Thandava Stotram - A Prayer Offered While Doing Tandava Dance
Thiruvempavai, A Penance Observed By Unmarried Girls
The Thousand Names of Lord Siva
Vaidyanatha Ashtakam, A Prayer Addressed To The Lord Of Physicians
Vaidyanatha Namaskaram, Salutations To The Lord Of Physicians