Leeds' Frazer Richardson and Brian Deane applied early pressure before Ade Akinbiyi's shot from the edge of the box showed Stoke also meant business.
The visitors' keeper Ed de Goey was forced to make fine saves from Jermaine Wright and Stephen Crainey as Leeds stayed on top but failed to score.
The visitors soaked up all that was thrown at them as their impressive start to the season continued.
Leeds manager Kevin Blackwell:
"The last two games have been thoroughly frustrating for one reason or another.
"Inside the box, lady luck is just not smiling on us. We've got seven clean sheets, and that's the most in the league.
"If that old lady luck had been with us in the box we'd be another six or eight points better off
Leeds: Sullivan, Kelly, Carlisle, Butler, Crainey,
Richardson (Joachim 86), Wright, Gregan, Pugh, Deane, Ormerod.
Subs Not Used: Carson, Ricketts, Spring, Duberry.
Stoke: de Goey, Halls, Thomas, Taggart, Hill, Russell, Brammer,
Clarke, Hall, Noel-Williams (Asaba 83), Akinbiyi (Greenacre 90).
Subs Not Used: Simonsen, Neal, Henry.
Booked: Taggart, Thomas, Clarke.
Ref: L Mason (Lancashire).