Pre-money valuation is the company's value before the new investment is added. It determines what percentage of the company the new investors receive. Pre-money is the headline negotiated number, but the post-money, which includes the new round and any option-pool top-up, is what actually drives ownership math.
Founders sometimes optimize for pre-money valuation while ignoring option-pool shuffles or other dilutive maneuvers that erode their ownership without changing the headline.