Kieren Church, 30, died after bottles he was hiding broke when he was tackled by a store guard in a shopping centre car park on 9 February.
The 20-year-old guard was arrested the following day after the incident at The Shires shopping centre in Trowbridge.
Wiltshire Police said a report would be passed to the coroner.
A post-mortem examination showed the provisional cause of Mr Church's death was glass injuries to his abdomen.
A security guard arrested on suspicion of manslaughter after an alleged shoplifter bled to death will face "no further police action".