[3] Iuta was continuously re-elected to the House of Assembly until 1998, being returned as MP for Beru in 1978, 1979, 1982, 1987, 1991 and 1994.
During that time, he served continuously as a member of Cabinet until 1994, under Presidents Ieremia Tabai and Teatao Teannaki, both from the National Progressive Party.
[1][4][5] Following the 1991 election, Alaima Talu wrote: "Taomati Iuta is emerging as the key man in the new Government with his extensive experience and superior educational background.
Teangana being "a non-starter", Iuta defeated his only opponent, former Cabinet minister Martin Tofinga (who had just lost his seat in Parliament), by twenty-six votes to twenty.
Islands Business commented that Iuta was "expected to bring in a higher level of maturity, etiquette, eloquence and more extensive experience into the Speaker’s office than the last incumbent".
[5] In November 2010, he addressed the Tarawa Climate Change Conference to urge delegates to strive for a workable agreement on addressing climate change, a crucial issue of Anote Tong's presidency.