Referee Jozef Batko whistled four yellows on Houston (0-2-4) and four yellows and a red on Chivas USA (1-3-2).
Corey Ashe had a chance to give Houston the go-ahead goal in the 88th minute, but his shot from the left box was stopped by Guzan.
In a scary moment, Chivas USA's Lawson Vaughn was kicked in the face by Dwayne De Rosario in the ninth minute and left with a broken nose and laceration on his face. He was expected to be re-evaluated Sunday.
Houston remains the league's lone winless team.