The three lawmakers were elected in the Rivers legislative re-run elections that held on Saturday.
The exercise – still ongoing as results are yet to be known for nine constituencies – was characterized by widespread violence and irregularities.
Mr. Abe represents Rivers South East; Mr. Sekibo; Rivers East; and Mr. Ideozu, Rivers West.
The seats for the three senatorial districts from Rivers State had been vacant since December when the Court Appeal invalidated legislative elections held during the 2015 general elections in the oil rich state.
“They just came from a tough election,” Mr. Saraki said after congratulating the newly sworn in Senators.
Mr. Sekibo (PDP) is in the Senate for the third time, Mr. Abe (APC) the second time and Mr. Ideozu (PDP) is a first time senator.
Meanwhile, the Senate has adjourned sitting till January 10.
The resolution for adjournment was reached after the Senate reconvened Thursday afternoon to approve votes and proceedings of the day.