Wildcats centre Muprhy was suspended and fined £300 after being found guilty of a dangerous throw, lift and drop during his side’s defeat by Castleford at Millennium Magic.
The 22-year-old appealed the decision and the offence was reduced from Grade C to Grade A after the appeals tribunal was presented new video evidence.
The tribunal ruled than the original £300 fine was sufficient pubishment but warned Murphy about his future tackling technique.
Salford hooker Godwin lodged an appeal against his two-match suspension for striking a Crusaders player during the match between the two clubs on Sunday.
Godwin claimed that Crusaders fullback Clinton Schifcofske instigated the incident and that he only threw one open-handed punch which hit Schifcofske’s shoulder.
But the appeals tribunal ruled that Godwin should take responsibility for his actions and upheld the original two-match ban and £300 fine. They also ordered the player to surrender his £200 appeal bond.