The market's ability to sustain relatively large market orders without impacting the price of the security. This considers the overall level and breadth of open orders and usually refers to trading within an individual security.
Taobiz explains Market Depth
For example, if the market for a stock is "deep", there will be a sufficient volume of pending orders on both the bid and ask side, preventing a large order from significantly moving the price.
Market depth is closely related to liquidity and volume within a security, but does not mean that every stock showing a high volume of trades has good market depth. On any given day there may be an imbalance of orders large enough to create high volatility, even for stocks with the highest daily volumes. The decimalization of ticks on the major U.S. exchanges has been said to increase overall market depth, as evidenced by the decreased importance of market makers, a position needed in the past to prevent order imbalances.