Shakib, who has a history of disciplinary problems, was found guilty of uttering abusive language after dismissing Sylhet Super Stars batsman Dilshan Munaweera while playing for his Rangpur Riders team on Thursday.
He was also convicted of directing offensive and abusive language towards umpire Tanvir Ahmed in the 13th over of Sylhet’s innings when an appeal against rival batsman Mushfiqur Rahim was turned down.
Shakib, who was also fined around $250 on Friday, was suspended by the Bangladesh Cricket Board for six months last year for a “severe attitude problem” although the punishment was later reduced after he apologised.
He also received a three-match ban in 2014 after making a lewd gesture towards a cameraman during a one-day international against Sri Lanka.
The 28-year-old, who is the number one all-rounder in Test and ODI rankings, was also fined 30 percent of his match fee after a bust-up with Pakistani bowler Wahab Riaz during a Test match earlier this year.
The third edition of the BPL began last weekend, resuming after the 2013 competition was marred by a match-fixing scandal.