The Cheetahs were run off their feet by the Crusaders, who scored four of their six tries in the final 20 minutes to run out 52-31 winners in Bloemfontein.
The hosts played themselves into a winning situation at 31-26 going into the final quarter.
The tourists, however, doubled their points without reply in the closing stages.
“Despite a poor season so far, we are not panicking and our aim is to play good rugby and the results will follow,” Strauss said.
After scrumhalf Sarel Pretorius scored the opening try to give the Cheetahs a 7-3 lead, the home side found themselves down 19-10 at the break and 26-10 early in the second half.
“A lack of discipline put us under pressure in our half and that is fatal against a team like the Crusaders,” conceded Strauss.
Three tries in the space of eight minutes by Cornal Hendricks, Oupa Mohoje and Willie le Roux put them back in the game, but the Crusaders saved their best for last.