Piston-driven direct ink writing (DIW) was developed as a promising additive manufacturing technique to fabricate complex parts with high viscosity material and many efforts have been made in analytical modeling for this process. However, the influences of material properties and process parameters on deposition statuses and height of deposited filaments have been poorly characterized. This study provides an analytical model to predict flow rate, deposition statuses, width and height of deposited filaments. To fulfill this objective, firstly, an analytical model of flow rate is described to predict the flow rate in time domain. Secondly, three deposition statuses are summarized and analytical dividing lines are derived to determine deposition statuses depend on the dimensionless nozzle velocity and the dimensionless height. Thirdly, width and height of deposited filaments are modeled and predicted based on the determined deposition statuses. Finally, Nivea Crème is selected as high viscosity material reference and flow rate, filaments deposition experiments are conducted to verify the proposed model. The effectiveness and prediction accuracy of the proposed model is verified as the relative errors between analytical and experimental results of flow rate are less than 4.31% and the relative errors between analytical and experimental results of width and height are less than 3.90%.