All of these are phrases with the vowels removed. There is a connection between them, and they are in order; finding it will help to resolve the puzzle. The letter spacing in the clue is not necessarily the same as the answer, nor does it indicate where the vowels should be inserted.
1. T HS H LTH VN T HRG DSB FRM
Thou Shalt Have No Other Gods Before Me
2. THS HL TNTM KNT THN YG RVNM G
Thou Shalt Not Make Unto Thee Any Graven Image
3. TH SH LTN TT KTHN MFT HLRD THY G DNVN
Thou Shalt Not Take The Name Of The Lord Thy God In Vain
4. R MM BRT HS BBT HDY TKP THLY
Remember The Sabbath Day To Keep It Holy
5. HN RTHYF THRN D THYM THR
Honour Thy Father And Thy Mother
6. T HSH L TNTM RDR
Thou Shalt Not Murder
7. TH S HLTN TCM MTDL TRY
Thou Shalt Not Commit Adultery
8. THS H LTNTS TL
Thou Shalt Not Steal
9. T HS HL TN TB RFL SWT NS SG NST THYNG HBR
Thou Shalt Not Bear False Witness Against The Neighbour
10. TH SH LT NT CV T
Thou Shalt Not Covet
These being the Ten Commandments