A program by which a company buys back its own shares from the marketplace, reducing the number of outstanding shares. This is usually an indication that the company's management thinks the shares are undervalued.
Taobiz explains Share Repurchase
Because a share repurchase reduces the number of shares outstanding , it increases earnings per share and tends to elevate the market value of the remaining shares. When a company does repurchase shares, it will usually say something along the lines of, "We find no better investment than our own company."