In a process for converting methane to liquid hydrocarbons, a feed containing methane is contacted with 0 dehydrocyclization catalyst under conditions effective to convert said methane to aromatic hydrocarbons, including benzene and/or naphthalene, and produce a first effluent stream comprising hydrogen and 0t least 5 wt % m>35 aromatic hydrocarbons than said feed. At least part the aromatic hydrocarbons from the first effluent stream is then reacted with hydrogen to produce a second effluent stream having a reduced benzene and/or naphthalene content compared with said first effluent stream.