Streit, 68, took Thompson to 18 holes in the third round of match play, but lost 2-down. With two wins on Tuesday, Thompson broke and extended a USGA record for most consecutive matches won in a single championship, which now stands at 21. Thompson was tied with Alexa Sterling and Glenna Collett Vare for most consecutive matches won in a single championship with 19 before beating Patty Lang, 2-and-1 in the second round.
'I'm sort of thinking about my game than setting any records,' said Thompson.
After Streit climbed within one down with a 20-foot birdie on the 15th hole, Thompson missed putts on the next two holes. Thompson finally took the win when Streit conceded after three-putting 18.
'They always say the best player wins at stroke play, but I don't know that I agree with that, because you have to be on the top of your game all through match play,' said Streit, who won in 1985 and 1994.
Thompson faces 1997 champion Nancy Fitzgerald in Wednesday's quarterfinals. Fitzgerald downed Alice Harcourt, 3-and-2 in the third round.
In other third-round matches, Anne Carr, last year's runnerup, beat Marianne Towersey, 2-and-1, and Barbara Berkmeyer beat Tish Preuss in 20 holes after losing a 4-up lead over the last six holes.