<p>The invention provides upholstery stretch slipcovers comprising a fabric having sufficient elastic recovery force that the cover requires no additional fabric having greater elastic recovery force than said first fabric to hold the stretch cover in place and to maintain the substantial absence of surface wrinkles in normal use. The stretch slipcovers are particularly useful for chairs having separate back and seat cushions. The invention further provides a method for replacably upholstering a resilient cushion.</p>