The 1981 Avon Championships of Dallas was a women's tennis tournament played on indoor carpet courts at the Moody Coliseum in Dallas, Texas that was part of the 1981 Virginia Slims World Championship Series.

It was the 10th edition of the tournament, held from March 9 through March 15, 1981.

[1] Top-seeded Martina Navratilova won the singles title and earned $33,000 first-prize money.

[2] Martina Navratilova defeated Pam Shriver 6–2, 6–4 Martina Navratilova / Pam Shriver defeated Kathy Jordan / Anne Smith 7–5, 6–4