Details are still in the early stages but Farmers Guardian understands the incident, which happened last week (April 17), involved a stone separator.
Suffolk Constabulary said the man - believed to be a potato farmer - was in his forties.
A Suffolk Constabulary spokesman said: “At approximately 8pm on Tuesday April 17, officers were called to a farm in Rushbrooke, Bury St Edmunds, where a man, in his forties, had suffered fatal injuries following an industrial incident.
“Police officers are currently leading a joint investigation with the Health and Safety Executive, although the death of the man is not being treated as suspicious.”
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