put the blame on (someone or something)
To blame someone or something (for something); to attribute or assign cause (for something) to someone or something. Don't put the blame on me for your mistakes! The public seems to be putting the blame for the data breach on the company's lax security measures.
put the blame on someone or something
and lay the blame on someone or something; place the blame on someone or somethingto blame someone or something; to assign a bad outcome to someone or something. Don't put the blame on me. I didn't do it. We'll have to place the blame for the damage on the storm.
put the blame on
see under lay on, def. 3; put it to, def. 3.