He announced his resignation in a letter published by local media on Monday saying he “joined the contest only to support the party and the coalition”.
Wade won the seat in the July 30 legislative elections under the Senegalese Democratic Party with the party winning only 19 seats against the ruling party’s 125 seats.
He returned to the country from his base in France three weeks before the polls in July for the campaign. He was expected to chair the inauguration of the legislature on Thursday as the Dean of the Assembly.
Abdoulaye Wade was President of Senegal from 2000 to 2012.