Chancellor Angela Merkel told her supporters, "This is a super result," after exit polls suggested a triumphant election win for her party.
Projections from German broadcasters ARD and ZDF show a wide lead for Merkel's Christian Democratic Union against challenger Peer Steinbruck's Social Democrats.
Merkel said her party will do "everything" to make the next four years successful for Germany .
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The attack on a college in Garissa, Kenya, comes a day after President Uhuru Kenyatta declared: ''Kenya is safe".
The pre-trial hearing for a British banker, accused of murdering two women in Hong Kong last November, was adjourned for five weeks.
Conservationists say one of the UK's most threatened butterflies has recorded its best year for a decade following 2014's warm spring.