Wikipedia
A harmless error is a ruling by a trial judge that, although mistaken, does not meet the burden for a losing party to reverse the original decision of the trier of fact on appeal, or to warrant a new trial. Harmless error is easiest to understand in an evidentiary context. Evidentiary errors are subject to harmless error analysis, under Federal Rule of Evidence 103(a) ("Error may not be predicated upon a ruling which admits or excludes evidence unless a substantial right of the party is affected.") The general burden when arguing that evidence was improperly excluded or included is to show that the proper ruling by the trial judge may have, on the balance of probabilities, resulted in the opposite determination of fact.
In the case of Earll v. State of Wyoming 2001 WY 66 29 P.3d 787, the Wyoming Supreme Court distinguished between reversible error (which requires a conviction be overturned) and harmless error (which does not), as follows:
In the evidentiary context, a harmless error is usually one where the evidence had no relevance to the issues to be decided by the trier of fact, evidence admitted actually helped the party seeking the reversal, or the remaining evidence was overwhelmingly against the party seeking reversal.
For example, a prosecutor may try to bolster its case by bringing in an expert witness to explain the behavior of one of the key witnesses. If the judge allows the expert to testify that there was a reason to explain away inconsistencies in the witness's testimony, this will most likely be grounds for an appeal, as in most cases evidence that only bolsters the credibility of a witness is not admissible. However, if there were a number of other witnesses against the losing party, the appellate court may rule that this mistake was of no consequence and that even if the evidence had been excluded, the losing party would have lost.
Federal Rule of Criminal Procedure 52(a) provides that "Any error, defect, irregularity or variance which does not affect substantial rights shall be disregarded."
Usage examples of "harmless error".
More than once he had instigated situations where Alfie would get caught red-handed in a harmless error, and then he lay flat on the power deck, laughing until his sides ached, as he listened to Alfie and Major Connel over the intercom.