The primary purpose of a phase I clinical trial is to determine the safety dose of a new drug for later trials use. Many statistical methods have been proposed for the determination of dose for a single drug. In statistical sense it can be regarded as a two-dimensional dose-toxicity curve fitting problem. In many trials, however, investigators are more interested in finding the doses for multiple agents. When there are multiple agents, statistical problem becomes more complicated due to the interaction among agents, and the monotonicity between toxicity and dose can no longer be assumed as that in the case of a single agent. For a two-agent trial, we have to deal with the three-dimensional curve fitting problem. A previous method used a joint-probability regression model to undergo the model-setting for toxicity response curve with two agents. Hence, we modify this method by dividing the model into two conditional models. Each conditional model describes the toxicity reaction of an agent conditional on the other agent. The advantage of our method is to avoid complexity in estimation but still retain the capability of the original method in coping with interaction between two agents.