We consider Double Quintessence models for which the Dark Energy sector consists of two coupled scalar fields .
We study in particular the possibility to have a transient acceleration in these models .
In both Double Quintessence models studied here , it is shown that if acceleration occurs , it is necessarily transient .
We consider also the possibility to have transient acceleration in two one-field models , the Albrecht-Skordis model and the pure exponential .
Using separate conservative constraints ( marginalizing over the other parameters ) on the effective equation of state w _ { eff } , the relative density of the Dark Energy \Omega _ { Q, 0 } and the present age of the universe , we construct scenarios with a transient acceleration that has already ended at the present time , and even with no acceleration at all , but a less conservative analysis using the CMB data rules out the last possibility .
The scenario with a transient acceleration ended by today , can be implemented for the range of cosmological parameters \Omega _ { m, 0 } \gtrsim 0.35 and h \lesssim 0.68 .