Tlaib, Omar join other women of colour who won big on Tuesday night; Alexandria Ocasio-Cortez became the youngest woman elected to Congress, and Ayanna Pressley became the first black congresswoman in MA.
Omar will fill the seat of Rep. Keith Ellison (D), who is running for the state attorney general and is also a Muslim.
A pair of districts in the Midwest will add Muslim women to the ranks of the US Congress for the first time, CNN has projected.
The 42-year-old Tlaib is a Palestinian-American.
In August, she won a crowded primary in the state's deep blue 5th District - an area that covers Minneapolis and some of its suburbs.
Although her election was officially announced on Tuesday, she was elected unopposed as no one came forward to challenge Rashida in another deeply Democratic district.
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AcelRx returned to the committee this year, and on October 12 the drug was recommended for approval. "It's a huge mistake", Wolfe said.
Tlaib celebrated her congressional victory not with an American flag, but with a Palestinian flag.
Ilhan Omar in an October file photo.
Omar fled Somalia's civil war with her parents at the age of eight and spent four years at a refugee camp in Kenya. "Yes, we marched outside the Capitol, but now we get to march into the Capitol", she wrote on Twitter on Tuesday.
MA will also be getting its first black congresswoman while Arizona and Tennessee stand to elect their first woman senators.
The women, both Democrats, include Palestinian-American Rashida Tlaib and Somali-American and former refugee Ilhan Omar. She has a bachelor's degree in politics from North Dakota State University and has also studied public affairs.
Researchers found that people identifying as Republicans were most likely to hold negative ideas about Islam and Muslims.