Marsh admitted the Level 1 offence (Article 2.1.8) of abuse of cricket equipment or clothing, ground equipment or fixtures and fittings during a match.
Fellow Australian anbd Kings XI teammate Glenn Maxwell was also fined for breaching the IPL Code of Conduct during the same match.
"Maxwell admitted to the level 1 offence (Article 2.1.8) of abuse of cricket equipment or clothing, ground equipment or fixtures and fittings during a match and accepted the sanction of a fine of 25 per cent of his match fee," a statement from the organisers said.