I've been studying this question myself, because I wrote what I called a thriller, but which might more properly be called a novel of suspense.
A typical thriller shows a group of people under imminent threat of destruction--a country, a town, the protagonist and family (and the family's often important). There are many subgenres of this type of story, as with medical, legal, political, romantic, and so forth. A novel of suspense typically poses a threat to the protagonist, and though the threat may involve death, it's more psychological--the terror that shadows contain, the fear of loss. Thrillers push things to the max, chapter after chapter--chases, mayhem, gunplay, for instance--whereas novels of suspense turn more on character and may be less "noisy." Think Hitchcock here, or Graham Greene.
But these distinctions are pretty gray. John Le Carre, IMO, writes thrillers that (sometimes) turn more on character than anything else. Courtroom thrillers may not have car chases. And so on.
A book that may be useful to you is How to Write Killer Fiction, by Carolyn Wheat. She contrasts mysteries and thrillers, which isn't quite what you're asking, and her analysis sometimes seems narrow, because she doesn't mention the past masters of either genre, only the present ones. But it's worth a look, and I learned a few things.
All that said, I had a long conversation an agent the other day, the most encouraging rejection I've ever had. He didn't take my thriller/suspense novel, but he did say that the distinction between those genres is immaterial. If the story and characters work, they work.