The north of the peninsula, where security forces are fighting an Islamist insurgency, is a bastion of the Egyptian affiliate of the jihadist Islamic State (IS) group.
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Nur Party secretary general Galal al-Murra confirmed his death to AFP.
A government crackdown targeting Morsi’s Muslim Brotherhood movement since 2013 has left hundreds dead and thousands jailed.
Arish residents say the militants in the city have threatened candidates in the parliamentary elections.
Abdel Rahman was one of 91 independent candidates the ultra-conservative party fielded in the elections and the only candidate for the party in Sinai.
There has been no claim of responsibility as yet for the attack in Beni Sueif.
In January 2015, at least 29 people were killed and more than 100 injured when militants targeted police and military installations in El-Arish, using auto bombs and artillery.
Three Egyptian policemen were killed in a roadside bombing in Sinai on Saturday, the second such attack in 48 hours in the peninsula where Islamic State jihadists are waging an insurgency.
While the violence has largely been confined to Sinai, bombs have also hit other areas, including Cairo.
That was a sharp drop from the 62 percent registered in the first stage of the last parliamentary poll, held in 2011 months after the ouster of longtime president Hosni Mubarak.
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The Muslim Brotherhood has been banned in Egypt as a terrorist organisation.
