The former West Ham striker believes that the London club’s home form will be key in them claiming a Champions League place.
"West Ham are flying, and they do not look in danger of running out of steam despite the fact their season started weeks before everyone else's did - on 2 July in the Europa League first qualifying round against Andorran side Lusitanos,” Hartson told BBC Sport.
"Their home form is especially impressive - they lost their first two league games at Upton Park in August, but have not lost any of their next 12 since then. Five of their final eight league games are at home and I think that will help them finish fourth. They are still in the FA Cup too.
"My old team seem to be embracing the fact this is their final season at a stadium that has been their home since 1904, and they want to finish really strongly before they move to the Olympic Stadium. I think they can do it, and get in the Champions League places.”
West Ham are fifth in the Premier League table at the moment with 50 points from 30 matches.
The Hammers are just a point behind fourth-placed Manchester City and level on points with fifth-placed Manchester United.
Slaven Bilic’s side are playing well at the moment and are in good form, and the fact that five of their final eight matches are at the Boleyn Ground is certainly going to help them.
West Ham are strong at home, and with the fans behind them, they should be able to pick up at least 11 points from those five matches.
The London outfit will return to action on Saturday afternoon when they take on Crystal Palace at home in the Premier League.