Is this a good solution for task managent for a teamleader?

Hi, guys!

I’m currently looking for a task management system to delegate tasks and track progress of said tasks of a small it-support team. I am not talking about big projects, but smaller tasks which needs to be done. Is this a solution for me? I know that this is a project management tool, but i have yet to find a solution that fit my needs and is free and open source.