Uefa's control, ethics and disciplinary body imposed the punishment for "acts of violence against the referee".
Lennon was sent to the stand during last month's Europa League qualifying match against Brondby after remonstrating with officials.
He was automatically banned from the touchline for the return leg in Denmark, with Hibs losing on penalties.
The 45-year-old described his dismissal on his debut at Easter Road on 14 July as "pathetic".
The former Celtic boss was incensed after Jason Cummings had a goal disallowed after 30 minutes that television replays showed was onside.
Hibs lost the first leg 1-0 but levelled the tie away from home before Brondby won through on spot-kicks.
The Edinburgh club responded via Twitter, saying: "Hibernian are aware of the sanction imposed by Uefa on head coach Neil Lennon and are in the process of appealing the suspension."

The water pipes in the town are old and prone to leaks and bursts, Severn Trent Water said.
Part of Milford Road is expected to be closed until the summer as a metal water pipe is replaced. Diversions will be in place.
The road is "just too narrow" in parts to be kept open as large machinery will be used, a spokesman said.
More than 12 miles (20km) of new water pipes are being laid from the Shugborough area into Stafford town centre.
In the first phase, which began in September, pipes were installed on Tixall Road for a new housing development nearby.

Celtic completed a domestic treble after Tom Rogic scored a stoppage-time winner in a 2-1 win at Hampden Park.
"We asked for that near-perfect performance and thought there was more to come from us," said manager McInnes.
"But we ran out of legs. It is our 351st day today since we reported back for pre-season."
That was because they were in the Europa League qualifiers after finishing runners-up to Celtic last season in the Scottish Premiership.
It was the same story in the league this season and Aberdeen also lost the League Cup final to Brendan Rodgers' side.
"It was fiercely fought and the performance was what I expected and what I was looking for," said McInnes. "But we came here to win, so obviously there's real disappointment.
"When it goes into injury time, a goal against you is always a sore one to take, but when it's a cup final, it just compounds it even more.
"It was like two proper heavyweights scrapping and fighting each other and everybody trying to find answers."
Aberdeen went ahead through Jonny Hayes after nine minutes, but Stuart Armstrong equalised two minutes later before Celtic completed their sixth win over the Dons this season.
"It was a huge effort from everyone and a real confident display from us for large spells of the game," said McInnes, who lamented a stray pass in front of goal from Hayes to Kenny McLean.
"We had moments in the game when we could have got ourselves in front again.
"It is all about those big moments. Kenny's got a chance. If he stands still, maybe it goes in, but it's just been a misunderstanding between the two of them.
"We implemented how we wanted to go about our business and get after them and Celtic struggled to get any real flow or rhythm into their game and that was important.
"We've done that in our previous two league games against them and we've had good spells in the game, something similar to today."
Rogic proved a thorn in Aberdeen's side again, with his fourth goal against the Dons this season.
"Celtic have got class players that can constantly ask the question of you," admitted McInnes.
"Rogic shows a bit of class. You've got to applaud and commend that level of skill, but we're disappointed we haven't won the cup because we wanted to win it for so many people."
Hibernian are to appeal against the five-match European ban given to manager Neil Lennon.
[NEXT_CONCEPT]
The second phase of a £15m project to upgrade the water and sewer pipes in Stafford is under way.
[NEXT_CONCEPT]
Derek McInnes says his beaten Aberdeen players gave him the "near-perfect" Scottish Cup final performance he asked for but paid for an extra-long season.