Today rapid and drastic changes are taking place in technology. Technological innovation capability of a nation to knowledge becomes the crucial factor which raises national industry competition ability. Only in this way can an enterprise scientifically realize its technological innovation ability in its competition with its counterpart, employ appropriate innovation strategy, make full use of its advantages and achieve the best economic and social benefits. The aim of this paper is to study the evaluation problems for evaluating the enterprise technological innovation capability with 2-tuple linguistic information. The induced 2-tuple linguistic choquet ordered harmonic average (I-2TCOHA) operator is used to aggregate the 2-tuple linguistic information corresponding to each alternative and rank the alternatives and select the most desirable one(s). Finally an illustrative example for evaluating the enterprise technological innovation capability has been given to show the developed approach.