Mr Siddaramaiah took to Twitter to pose the questions, two days after PM Modi launched an all out offensive on his government at a BJP rally in Bengaluru, accusing the chief minister of creating "new records" in corruption.
PM Modi had also dubbed the Siddaramaiah's rule as a "10 per cent commission" government.
Siddaramaiah in his tweet said "I am glad PM @narendramodi is talking about corruption. I now invite him to #WalktheTalk."
He posed questions to PM Modi such as appointing national ombudsman Lokpal, mysterious death of judge B H Loya, "astronomical rise" of BJP national president Amit Shah's son Jay Shah and appointing an "untainted person" as the chief ministerial candidate for Karnataka.
BJP has already said allegations against Mr Shah's son had no basis.
Siddaramaiah's poser invited a quick rebuttal from BJP state president and party's chief ministerial candidate B S Yeddyurappa.
Welcoming the 'discussion', Mr Yeddyurappa tweeted with a tagline #Date2Answer asking, "Why did you quash all the powers of Lokayukta and make it a toothless body?."
Mr Siddaramaiah had declared it a state asset and handed it over to the assembly speaker.
Mr Yeddyurappa also raised Deputy Speaker M K Ganapathy suicide case.
Mr Ganapathy had allegedly committed suicide last year accusing the then Home Minister George and two other senior IPS officers of harassing him.
The state CID had given a clean chit to Mr George and the two officials. But the Supreme Court later ordered a CBI probe following which a case was registered against George and the two IPS officers.
BJP has been demanding Mr George's resignation, which Mr Siddaramaiah has turned down.