Prime Minister Narendra Modi on Sunday condemned the two separate bomb attacks carried out by the Islamic State on Coptic churches in Egypt which claimed lives of at least 43 people and injured 100.

"Deeply pained by the attacks in Egypt. We condemn these attacks. My thoughts are with families of the deceased & prayers with the injured," he tweeted.

The first explosion, which left 27 dead and 78 injured, ripped through a Palm Sunday service at Mar Girgis (St. George's) Coptic church in Tanta, a city located 120 km from Cairo, media reported.

The explosive device was planted under a seat in the church and was detonated in the main prayer hall.

A short time later, a suicide bomb attack outside Saint Mark's Coptic Orthodox Cathedral in Alexandria killed 16 and injured 41 people, according to a Health Ministry statement.

Egyptian Prime Minister Sherif Ismail condemned the attacks on private television channel On TV, adding that the government was determined to end terrorism in the country.  

"This is an impious terrorist act, but we will eradicate terrorism from Egypt and we are determined to put an end to terrorist groups," media quoted Ismail as saying.

Copts, who make up around 15 per cent of Egypt's population, were celebrating Palm Sunday, which marks the start of the Holy Week for Christians.

This attack comes 20 days before the visit of Pope Francis, who is set to travel to Egypt on April 28.