Lee Cook conjured a moment of quality when he picked up a neat back-heel from Paul Furlong and lashed the ball into the top of the net in the 17th minute.
The visitors' best chances fell to Chris Greenacre, who saw one shot blocked before drilling the ball wide.
Then John Eustace put the ball in the net after 84 minutes for Stoke but his effort was ruled offside.
Stoke boss Tony Pulis feels he needs to dabble in the transfer market to end his side's losing streak:
"We need new players who have a bit more quality than what we've got.
"In the second half we were the only team in it, but we need people who can open the door for us when we have as much possession as we had.
"Chris Greenacre worked his socks off, but he only got behind theirback four twice and, unfortunately, he didn't take either chance."
QPR: Royce, Edghill, Shittu, Davies (Rose 46), Padula, Ainsworth, Santos, Gallen, Cook (McLeod 87), Cureton (Bean 77), Furlong.
Subs Not Used: Day, Miller.
Booked: Cook, Furlong, Santos.
Goals: Cook 18.
Stoke: Simonsen, Buxton, Thomas, Taggart, Hall (Asaba 70), Russell, Brammer, Jarrett (Eustace 64), Clarke, Greenacre (Noel-Williams 80), Akinbiyi.
Subs Not Used: de Goey, Henry.
Booked: Eustace.
Att: 13,559.
Ref: R Styles (Hampshire).