Meditate on Lord Vishnu) Who has a Serene Appearance
Who is Lying on bed of snakes.
From Whose Navel is springing up a Lotus.
Who is Lord of the Deva’s,
Who is the Substratum of the Universe and boundless like the Sky, and colour like a Cloud, and radiating Auspiciousness.
Who is the Beloved of Devi Lakshmi with Eyes like Lotus petals; Who is Attainable by the Yogis only through Meditation.
Worship the All-Pervading Vishnu Who Removes the Fear of Worldly Existence
Worship Vishnu Who is the One Lord of All the Loka’s
The three Sahsranama stotrams dedicated to Lord Vishnu are found in Padma Purana,Skanda Purana and the Mahabharata.They are together called the "Trividha Vishnu Sahasranamams".Similarly,for Shiva we have "Chaturvidha Sahsranamams" but from Agama Texts we have many more.
The verse itself, appears within the Dhyana Sloka of the Vishnu Sahasranama that is from the Anushasanika Parva of Mahabharata.
Translations
[शान्ताकारं भुजगशयनं पद्मनाभं सुरेशम्]
Shanta-karam Bhujaga-shayanam Padma-naabhan Sure-sham: Of peaceful form, reclining on the serpent, with a lotus navel, Lord of the gods.
[विश्वाधारं गगनसदृशं मेघवर्णं शुभाङ्गम्]
Vishawa-aadharam Gagana-sadrushyam Megha-varnam Subha-angam: Support of the universe, sky-like, cloud-colored, with auspicious limbs.
[लक्ष्मीकान्तं कमलनयनं योगिभिर्ध्यानगम्यम्]
Laxmi-kantam Kamala-nayanam Yogibhir-dhyan-gamayam: Beloved of Lakshmi, lotus-eyed, attainable through meditation by yogis.
[वन्दे विष्णुं भवभयहरं सर्वलोकैकनाथम्]
Vande Vishnum Bhava-bhaya-haram Sarva-loka-ika-natham: I bow to Vishnu, remover of the fear of existence, Lord of all worlds.