Embodiments relate to global weak pattern history table (PHT) filtering. An aspect includes receiving a search address associated with a branch prediction, and receiving a prediction strength indicator and a tag from a PHT. Based on determining that the tag matches the search address and the prediction strength indicator is weak, an accuracy counter is compared to a comparison threshold to determine whether a PHT direction prediction from the PHT is more likely accurate than a branch history table (BHT) direction prediction from a BHT. The PHT direction prediction is selected as a direction prediction based on determining that the accuracy counter indicates that the PHT direction prediction is more likely accurate than the BHT direction prediction. The BHT direction prediction is selected as the direction prediction based on determining that the accuracy counter indicates that the BHT direction prediction is more likely accurate than the PHT direction prediction.