We propose Generalized Trust Region Policy Optimization (GTRPO), a policy gradient Reinforcement Learning (RL) algorithm for both Markov decision processes (MDP) and Partially Observable Markov Decision Processes (POMDP). Policy gradient is a class of model-free RL methods. Previous policy gradient methods are guaranteed to converge only when the underlying model is an MDP and the policy is run for an infinite horizon. We relax these assumptions to episodic settings and to partially observable models with memory-less policies. For the latter class, GTRPO uses a variant of the Q-function with only three consecutive observations for each policy updates, and hence, is computationally efficient. We theoretically show that the policy updates in GTRPO monotonically improve the expected cumulative return and hence, GTRPO has convergence guarantees.