Macbeth certainly believes that a sin or a wrongdoing will prompt a repercussion or consequence that is appropriate and unavoidable. After he has committed the murder of Duncan, he worries that, because he murdered the king while the king was sleeping, he will no longer be able to sleep peacefully himself. He thinks he heard a voice cry, "'Sleep no more!' to all the house. / 'Glamis hath murdered sleep, and therefore / Cawdor / Shall sleep no more. Macbeth shall sleep no more'' (2.2.54-57). In his mind, the natural order of the world necessitates that such consequences exist.
Likewise, after Macbeth sees the ghost of Banquo at his dinner party, he tells his wife, "It will have blood they say; blood will have blood. / Stones have been known to move, and trees to / speak" (3.4.152-154). Again, Macbeth refers to a sort of natural order by giving voice to the idea that nature herself will work to reveal his guilt. Macbeth, in murdering his king, has disrupted the natural order, and he believes that nature, now, will betray him.