The NBA used to have a many-round draft, but reduced it to 2 rounds in 1989.  Since the reduction to 2 rounds, there has never been a year with more than 1 BYU player drafted.  However, prior to that there were 12 years where more than 1 BYU player was taken in the draft.  The only one of those that would be similar to having 2 players taken in a current draft was the 1951 draft when Mel Hutchins and Roland Minson were taken in the first 2 rounds.

Years when more than 1 BYU player was drafted (number in parentheses indicates round the player was drafted):

1948: Brady Walker (2), Joe Nelson (5)

1951: Mel Hutchins (1, 2nd overall), Roland Minson (2)

1953: Joe Richer (8), Harold Christensen (12)

1966: Jeff Congdon (4), Dick Nemelka (5)

1969: Paul Loveday (6), Kari Liimbo (7)

1970: Paul Ruffner (2), Doug Howard (11)

1972: Bernie Fryer (7), Kresimir Cosic (10)

1973: Kalevi Sarkahahti (13), Phil Tollestrop (20)

1977: Jay Chessman (6), Vern Thompson (8)

1981: Danny Ainge (2), Steve Craig (5)

1982: Fred Roberts (2), Steve Trumbo (3)

1984: Devin Durrant (2), Brett Applegate (4)