First said some hourly services would run on Sunday
Bus drivers in Sheffield are taking part in a second, two-day strike in a row over disciplinary issues.
Workers are staging the industrial action on Sunday and Monday as a result of the dispute with bus operator First.
A 24-hour strike which affected all commercial bus services in the city took place on Friday.
Sunday's industrial action coincides with Sheffield's Fright Night Halloween party. First said a limited free bus service would be in operation.
The operator said the bus service would run hourly from 1400 GMT in order to accommodate those attending the event, which attracts up to 30,000 people.
The dispute centres on disciplinary issues at Sheffield's Olive Grove bus depot. About 750 drivers are taking part in the strike.
The Unite union said the issues included grievances over the way the company handled workers who had taken sickness leave and First's "attitude to disciplinary action".
A walkout by drivers in Doncaster and Rotherham was cancelled on Thursday after First offered a 3% pay rise.
The new pay deal, which offers drivers a 3% rise by 2010, will be put to union members in a ballot next week.
A further strike is planned for 31 October.