Security in and around Kerbala is tight for fear of a repetition of suicide bombings and attacks on Shia religious rituals by suspected Sunni insurgents of the type that killed 171 people in Baghdad and Kerbala in March 2004.
The attacks on pilgrims this week have occurred just over a year after the bombing of a Shia shrine in the city of Samarra sparked an upsurge in sectarian violence in Iraq.
Baghdad security plan
US military commanders meanwhile pressed ahead with their plan to re-gain control of Baghdad.
In a series of raids conducted across Iraq on Wednesday morning, US forces detained 24 suspected insurgents, the military said.
In a raid northeast of Karmah, 80km west of Baghdad, US troops detained nine suspects they believe have ties to senior al-Qaeda-in-Iraq leaders, the military said in a statement.
In Baghdad, more than 90,000 Iraqi and US troops have intensified operations to rein in violence as part of a last-ditch security plan.
George Bush, the US president, said on Tuesday a new security plan in Baghdad was making gradual progress, despite the killing of nine US soldiers north of the capital in two separate bomb attacks the day before.
More than 3,185 American soldiers have died in Iraq since the US-led invasion in March 2003.