Write a stage play. Sit down at the computer and use your imagination to write the best play that you can possibly write. Use the principles of dramatic writing, based upon structure, character, conflict and dialogue. Create believable characters with rich dialogue that will capture the attention of talented actors. Build strong conflict for the characters so that they will have something to overcome and the play will build with tension from the beginning to end. Read, revise and rewrite your script after you've finished your first draft. Repeat the process until you are satisfied that your play is the best it can be.
Copyright your play. Visit the Library of Congress website for up-to-date fees for the registration.
Market your play to theaters. Contact The Dramatist Guild or The Writers' Market to find a list of theaters and their play submission requirements.
Send your play to theatrical literary managers and theatrical producers. You want to get your play produced at any level. Community, college, regional or national theater productions will all help establish your credibility.
Sell your play to a producer or license it to the theaters. Agree to whatever contract is acceptable and that will get your work on stage.
Contact theater literary agents. Agents are different from the literary mangers that help find shows for theaters. Once you have a produced play, you can seek representation. Without quality representation the world of big Broadway productions will be hard to access.
Sell another play. Whether you have an agent or not, the more experienced you are as a playwright, the better your odds of being produced on Broadway.