Brandon Sammut, 23, of South Downs Rise, Havant, admitted speeding between junctions 4 and 5 on May 29.
He was clocked at 70mph despite the limit being 50mph.
Sammut must pay £85 costs and received six points on his driving licence.
Highways England is converting the M27 into a smart motorway.
Works are being carried out between junction 4 for Southampton and junction 11 at Fareham.
He also admitted speeding on the A27 Spur Road on March 21.
He was fined £100 with a £30 victim surcharge and £85 costs.
He received three points on his licence.