بِسْمِ اللهِ

بِسْمِ اللهِ is a phrase (شِبْهُ الجُمْلَةِ) consisting of a preposition and a possessive noun compound

PhraseParticle/Noun/NounNounNoun Particle
شِبْهُ الجُمْلَةِ جَارٌ وَمَجْرُوْرٌ وَهُوَ مُضَافٌ وَ مُضَافٌ إِلَيْهِمُضَافٌ إِلَيْهِاسْمٌ مَجْرُوْرٌ وَهُوَ مَضَافٌحَرْفُ جَرٍّ
PhraseCompoundPossessive Noun/ownerGenitive noun + Noun possessedParticle of pulling down
  بِسْمِ اللهِ=اللهِ+اسْمِ+بِ
  in the name of Allah (SWT)Allah (SWT)the name ofin/by/with
Surah/Below are the 3 verses in the holy Quran containing the compound بِسْمِ اللهِ
Verse
1-1In the name of Allah (SWT), Most compassionate, Eternally Mercifulبِسْمِ اللهِ الرَّحْمَانِ الرَّحِيْمِ
and he said, “Embark in it in the name of Allah (SWT) its coarse and its anchorageوَقَالَ ارْكَبُوا فِيْهَا بِسْمِ اللهِ مَجْرِيهَا وَمُرْسَاهَآ
11-41indeed, my Lord is certainly Oft-Forgiving, Most-Merciful”إِنَّ رَبِّي لَغَفُوْرٌ رَّحِيْمٌ
27-30
114-0In the name of Allah (SWT), Most compassionate, Eternally Mercifulبِسْمِ اللهِ الرَّحْمَانِ الرَّحِيْمِ