Is it normal to have heavy bleeding and blood clots after laparoscopic sugery for ruptured ovarian cyst.

Yes but: How long after having that surgery is the question.did you just had the surgery days ago ? If recently done and it's decreasing it's normal ,other than that you need to call the surgeon ASAP . Loosing blood fast can lead to more serious issues.

Control any bleeding: Bleeding is never normal. Common possible complications are redness, swelling, increasing pain, excessive bleeding, or discharge from the incision site. Call your surgeon for post op evaluation and treatment.