1. To formally inform a person or body or authority of some charge or accusation against someone or something. A noun or pronoun is usually used between "lodge" and "with." If you have an issue with something, the best course of action is to lodge a complaint with the HR department right away. After being hit in the face at the bar, Jeff lodged an assault charge with local police and ended up getting nearly $200,000 from the guy who punched him.

2. To stay in someone's home or accommodation for a temporary period of time. Janet's brother is going to be lodging with us for a couple of weeks while he looks for a job and apartment of his own after he moves.

3. To instruct, direct, or compel someone to stay in someone's home or accommodation for a temporary period of time. A noun or pronoun is used between "lodge" and "with." We're lodging Janet's brother with us for a couple of weeks while he looks for a job and apartment of his own after he moves.

4. To make a deposit of a cash or check at a financial institution. A noun or pronoun is usually used between "lodge" and "with." Primarily heard in UK. Be sure to lodge the required funds with your local bank before the repayment falls due each month.