Harry Redknapp's side were not as strong as that which featured against Oxford United 24 hours earlier.
Nonetheless, it was still an impressive display from his mixture of first-teamers and reserves at a packed West Leigh Park.
Ben Sahar opened
the scoring on seven minutes when he latched onto a throughball from Arnold Mvuemba.
The on-loan striker made it two on 36 minutes when he smartly headed home Glen Little's right-wing cross.
Pompey emphatically sealed their victory with two goals in the last three minutes as Mvuemba's powerful drive and Glen Johnson's angled strike inflated the scoreline.
For the Hawks it was a worthy run out ahead of Saturday's Conference South opener at St Albans.
For Pompey, their next match is back at Wembley for a clash with Manchester United in the Community Shield.
Pompey: Ashdown, Johnson, Hreidarsson, Primus, Wilson, Little, Hughes, Davis, Mvuemba, Sahar, Utaka
Substitutes *46mins: Richard Duffy **73mins: Jean-Francois Christophe. Subs not used: Paris, Cowan, Hall.Get all our Portsmouth FC stories straight to your inbox by Email.... click here to subscribe.
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