Shri Raam Jai Raam Jai Jai Raam
श्री राम जय् राम जय् जय् राम
śrī rām jai rām jai jai rām
śrī: Literally means auspicious, and is used as an honorific title before names. Can also refer to Lakshmi, Vishnu's consort, since her bija mantra is Shrim.
rām/rāma: An avatar, or incarnation, of Vishnu, the lord of the universe. Rama's story is told in the Ramayana, his wife is Sita, and he is known for his compassion and courage.
jai/jaya: Victory to! Celebration of. An emphatic "Hooray God!"
"Shri Ram Jai Ram Jai Jai Ram is the song/mantra that Hanuman is always singing. Rama is the name that Maharaj-ji always had on his lips. It is the mantra that purifies the heart and bestows devotion to God." ~ Krishna Das
"I bow to the Name of Rama... which is unqualified, peerless and a mine of virtues and is the vital breath of the Vedas. The sound of the name of Rama is a beautiful ornament for the ears of the fair damsel in the form of Bhakti (Devotion)... It is like the taste and the gratifying quality of nectar in the form of emancipation... It is like the bee for the beautiful lotus of the devotee's mind... Install the luminous gem in the shape of the divine name of 'Rama' on the threshold of the tongue at the doorway of your mouth, if you will have light both inside and out..." ~ Ramayana (Tulsi Das)
"Victory to Ram, the eternal One, and to His consort Sita (Shri), the Divine Feminine Principal." ~ Jai Uttal
"Sri Ram, Jaya Ram, Jaya Jaya Ram is the most commonly chanted mantra for Lord Ram. Tulsi Das (author of the Hanuman Chalisa and the Tulsi Das Ramayana) likely chanted this mantra while sitting on the ghats of Varanasi gazing out at the river Ganga longing for a darshan (sight) of his beloved Ram and Sita." ~ Swami Ma Chetan-Jyoti
"Place the name of Rama as a jeweled lamp at the door of your lips and there will be light, as you will, both inside and out." ~ Ramayana (Tulsi Das)