The H1 Collaboration at HERA has entered the period of high precision analyses based on the final data sample. These analyses require a massive production of simulated Monte Carlo (MC) events. The H1 MC framework (H1MC) is a software for mass MC production on the LCG Grid infrastructure and on a local batch system created by H1 Collaboration. The aim of the tool is a full automatisation of the MC production workflow including management of the MC jobs on the Grid down to copying of the resulting files from the Grid to the H1 mass storage tape device. The H1 MC framework has modular structure, delegating a specific task to each module, including task specific to the H1 experiment: Automatic building of steer and input files, simulation of the H1 detector, reconstruction of particle tracks and post processing calculation. Each module provides data or functionality needed by other modules via a local database. The Grid jobs created for detector simulation and reconstruction from generated MC input files are fully independent and fault-tolerant for 32 and 64-bit LCG Grid architecture and in Grid running state they can be continuously monitored using Relational Grid Monitoring Architecture (R-GMA) service. To monitor the full production chain and detect potential problems, regular checks of the job state are performed using the local database and the Service Availability Monitoring (SAM) framework. The improved stability of the system has resulted in a dramatic increase in the production rate, which exceeded two billion MC events in 2008.