April 15th is the final day to file your taxes without requesting an extension. If you owe money to the IRS, payment is still due by April 15—even if you file for an extension—so you should pay as much as you can by that date.
If you filed for an extension, October 15th is the deadline to submit your tax return. An extension only extends the time to file, not the time to pay. If you expect to owe the IRS, you should pay some or all of your balance by Tax Day (April 15) to help avoid interest and penalties.